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Finding the Fourth Proportional to 382,143.48, 573,214.54 and 101,660.74

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Solution

The fourth proportional to 382,143.48, 573,214.54 and 101,660.74 is: 152,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,143.48 : 573,214.54 = 101,660.74 : x
  2. Step 2: Convert to fraction form
    382,143.48/573,214.54 = 101,660.74/x
  3. Step 3: Cross multiply
    382,143.48x = 573,214.54 × 101,660.74
  4. Step 4: Simplify right side
    382,143.48x = 58,273,414,315.16
  5. Step 5: Solve for x
    x = 58,273,414,315.16/382,143.48
  6. Step 6: Final answer
    x = 152,490.93

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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.