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Finding the Fourth Proportional to 144,598.17, 216,934.65 and 84,677.25

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Solution

The fourth proportional to 144,598.17, 216,934.65 and 84,677.25 is: 127,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,598.17 : 216,934.65 = 84,677.25 : x
  2. Step 2: Convert to fraction form
    144,598.17/216,934.65 = 84,677.25/x
  3. Step 3: Cross multiply
    144,598.17x = 216,934.65 × 84,677.25
  4. Step 4: Simplify right side
    144,598.17x = 18,369,429,591.71
  5. Step 5: Solve for x
    x = 18,369,429,591.71/144,598.17
  6. Step 6: Final answer
    x = 127,037.77

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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.