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Finding the Fourth Proportional to 180,838.74, 271,227.15 and 47,720.40

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Solution

The fourth proportional to 180,838.74, 271,227.15 and 47,720.40 is: 71,572.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,838.74 : 271,227.15 = 47,720.40 : x
  2. Step 2: Convert to fraction form
    180,838.74/271,227.15 = 47,720.40/x
  3. Step 3: Cross multiply
    180,838.74x = 271,227.15 × 47,720.40
  4. Step 4: Simplify right side
    180,838.74x = 12,943,068,088.86
  5. Step 5: Solve for x
    x = 12,943,068,088.86/180,838.74
  6. Step 6: Final answer
    x = 71,572.43

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1.5x scale

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.