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Finding the Fourth Proportional to 316,084.41, 474,127.02 and 129,095.91

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Solution

The fourth proportional to 316,084.41, 474,127.02 and 129,095.91 is: 193,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,084.41 : 474,127.02 = 129,095.91 : x
  2. Step 2: Convert to fraction form
    316,084.41/474,127.02 = 129,095.91/x
  3. Step 3: Cross multiply
    316,084.41x = 474,127.02 × 129,095.91
  4. Step 4: Simplify right side
    316,084.41x = 61,207,859,102.49
  5. Step 5: Solve for x
    x = 61,207,859,102.49/316,084.41
  6. Step 6: Final answer
    x = 193,644.03

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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.