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Finding the Fourth Proportional to 382,141.48, 573,211.54 and 101,658.74

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Solution

The fourth proportional to 382,141.48, 573,211.54 and 101,658.74 is: 152,487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,141.48 : 573,211.54 = 101,658.74 : x
  2. Step 2: Convert to fraction form
    382,141.48/573,211.54 = 101,658.74/x
  3. Step 3: Cross multiply
    382,141.48x = 573,211.54 × 101,658.74
  4. Step 4: Simplify right side
    382,141.48x = 58,271,962,909.86
  5. Step 5: Solve for x
    x = 58,271,962,909.86/382,141.48
  6. Step 6: Final answer
    x = 152,487.93

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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.