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Finding the Fourth Proportional to 475,966.42, 713,937.92 and 116,139.78

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Solution

The fourth proportional to 475,966.42, 713,937.92 and 116,139.78 is: 174,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,966.42 : 713,937.92 = 116,139.78 : x
  2. Step 2: Convert to fraction form
    475,966.42/713,937.92 = 116,139.78/x
  3. Step 3: Cross multiply
    475,966.42x = 713,937.92 × 116,139.78
  4. Step 4: Simplify right side
    475,966.42x = 82,916,592,381.76
  5. Step 5: Solve for x
    x = 82,916,592,381.76/475,966.42
  6. Step 6: Final answer
    x = 174,206.81

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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.