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Finding the Fourth Proportional to 376,614.46, 564,941.14 and 96,134.14

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Solution

The fourth proportional to 376,614.46, 564,941.14 and 96,134.14 is: 144,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,614.46 : 564,941.14 = 96,134.14 : x
  2. Step 2: Convert to fraction form
    376,614.46/564,941.14 = 96,134.14/x
  3. Step 3: Cross multiply
    376,614.46x = 564,941.14 × 96,134.14
  4. Step 4: Simplify right side
    376,614.46x = 54,310,130,644.52
  5. Step 5: Solve for x
    x = 54,310,130,644.52/376,614.46
  6. Step 6: Final answer
    x = 144,206.17

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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.