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Finding the Fourth Proportional to 381,102.76, 571,570.71 and 156,241.90

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Solution

The fourth proportional to 381,102.76, 571,570.71 and 156,241.90 is: 234,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,102.76 : 571,570.71 = 156,241.90 : x
  2. Step 2: Convert to fraction form
    381,102.76/571,570.71 = 156,241.90/x
  3. Step 3: Cross multiply
    381,102.76x = 571,570.71 × 156,241.90
  4. Step 4: Simplify right side
    381,102.76x = 89,303,293,714.75
  5. Step 5: Solve for x
    x = 89,303,293,714.75/381,102.76
  6. Step 6: Final answer
    x = 234,328.65

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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.