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Finding the Fourth Proportional to 382,188.34, 573,295.45 and 101,705.86

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Solution

The fourth proportional to 382,188.34, 573,295.45 and 101,705.86 is: 152,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,188.34 : 573,295.45 = 101,705.86 : x
  2. Step 2: Convert to fraction form
    382,188.34/573,295.45 = 101,705.86/x
  3. Step 3: Cross multiply
    382,188.34x = 573,295.45 × 101,705.86
  4. Step 4: Simplify right side
    382,188.34x = 58,307,506,776.34
  5. Step 5: Solve for x
    x = 58,307,506,776.34/382,188.34
  6. Step 6: Final answer
    x = 152,562.23

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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.