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Finding the Fourth Proportional to 200,348, 276,488.88 and 110,924

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Solution

The fourth proportional to 200,348, 276,488.88 and 110,924 is: 153,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,348 : 276,488.88 = 110,924 : x
  2. Step 2: Convert to fraction form
    200,348/276,488.88 = 110,924/x
  3. Step 3: Cross multiply
    200,348x = 276,488.88 × 110,924
  4. Step 4: Simplify right side
    200,348x = 30,669,252,525.12
  5. Step 5: Solve for x
    x = 30,669,252,525.12/200,348
  6. Step 6: Final answer
    x = 153,079.90

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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.