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Finding the Fourth Proportional to 247,057.22, 370,418.10 and 78,527

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Solution

The fourth proportional to 247,057.22, 370,418.10 and 78,527 is: 117,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,057.22 : 370,418.10 = 78,527 : x
  2. Step 2: Convert to fraction form
    247,057.22/370,418.10 = 78,527/x
  3. Step 3: Cross multiply
    247,057.22x = 370,418.10 × 78,527
  4. Step 4: Simplify right side
    247,057.22x = 29,087,822,138.70
  5. Step 5: Solve for x
    x = 29,087,822,138.70/247,057.22
  6. Step 6: Final answer
    x = 117,737.19

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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.