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Finding the Fourth Proportional to 209,390.67, 288,959.81 and 113,897.34

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Solution

The fourth proportional to 209,390.67, 288,959.81 and 113,897.34 is: 157,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,390.67 : 288,959.81 = 113,897.34 : x
  2. Step 2: Convert to fraction form
    209,390.67/288,959.81 = 113,897.34/x
  3. Step 3: Cross multiply
    209,390.67x = 288,959.81 × 113,897.34
  4. Step 4: Simplify right side
    209,390.67x = 32,911,753,156.42
  5. Step 5: Solve for x
    x = 32,911,753,156.42/209,390.67
  6. Step 6: Final answer
    x = 157,178.70

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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.