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Finding the Fourth Proportional to 202,951.70, 304,513.95 and 128,129.30

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Solution

The fourth proportional to 202,951.70, 304,513.95 and 128,129.30 is: 192,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,951.70 : 304,513.95 = 128,129.30 : x
  2. Step 2: Convert to fraction form
    202,951.70/304,513.95 = 128,129.30/x
  3. Step 3: Cross multiply
    202,951.70x = 304,513.95 × 128,129.30
  4. Step 4: Simplify right side
    202,951.70x = 39,017,159,253.74
  5. Step 5: Solve for x
    x = 39,017,159,253.74/202,951.70
  6. Step 6: Final answer
    x = 192,248.50

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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.