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Finding the Fourth Proportional to 381,875.52, 572,828.64 and 101,395.20

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Solution

The fourth proportional to 381,875.52, 572,828.64 and 101,395.20 is: 152,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,875.52 : 572,828.64 = 101,395.20 : x
  2. Step 2: Convert to fraction form
    381,875.52/572,828.64 = 101,395.20/x
  3. Step 3: Cross multiply
    381,875.52x = 572,828.64 × 101,395.20
  4. Step 4: Simplify right side
    381,875.52x = 58,082,074,518.53
  5. Step 5: Solve for x
    x = 58,082,074,518.53/381,875.52
  6. Step 6: Final answer
    x = 152,096.88

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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.