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Finding the Fourth Proportional to 180,787.16, 271,182.32 and 47,686.32

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Solution

The fourth proportional to 180,787.16, 271,182.32 and 47,686.32 is: 71,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,787.16 : 271,182.32 = 47,686.32 : x
  2. Step 2: Convert to fraction form
    180,787.16/271,182.32 = 47,686.32/x
  3. Step 3: Cross multiply
    180,787.16x = 271,182.32 × 47,686.32
  4. Step 4: Simplify right side
    180,787.16x = 12,931,686,889.86
  5. Step 5: Solve for x
    x = 12,931,686,889.86/180,787.16
  6. Step 6: Final answer
    x = 71,529.90

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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.