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Finding the Fourth Proportional to 200,163,030, 276,223,115.16 and 113,242,902

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Solution

The fourth proportional to 200,163,030, 276,223,115.16 and 113,242,902 is: 156,274,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,163,030 : 276,223,115.16 = 113,242,902 : x
  2. Step 2: Convert to fraction form
    200,163,030/276,223,115.16 = 113,242,902/x
  3. Step 3: Cross multiply
    200,163,030x = 276,223,115.16 × 113,242,902
  4. Step 4: Simplify right side
    200,163,030x = 31,280,307,160,198,596
  5. Step 5: Solve for x
    x = 31,280,307,160,198,596/200,163,030
  6. Step 6: Final answer
    x = 156,274,148.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.