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Finding the Fourth Proportional to 200,737.78, 301,223.28 and 89,929.78

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Solution

The fourth proportional to 200,737.78, 301,223.28 and 89,929.78 is: 134,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,737.78 : 301,223.28 = 89,929.78 : x
  2. Step 2: Convert to fraction form
    200,737.78/301,223.28 = 89,929.78/x
  3. Step 3: Cross multiply
    200,737.78x = 301,223.28 × 89,929.78
  4. Step 4: Simplify right side
    200,737.78x = 27,088,943,301.28
  5. Step 5: Solve for x
    x = 27,088,943,301.28/200,737.78
  6. Step 6: Final answer
    x = 134,946.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.