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Finding the Fourth Proportional to 180,810.62, 271,234.15 and 47,700.08

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Solution

The fourth proportional to 180,810.62, 271,234.15 and 47,700.08 is: 71,554.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,810.62 : 271,234.15 = 47,700.08 : x
  2. Step 2: Convert to fraction form
    180,810.62/271,234.15 = 47,700.08/x
  3. Step 3: Cross multiply
    180,810.62x = 271,234.15 × 47,700.08
  4. Step 4: Simplify right side
    180,810.62x = 12,937,890,653.73
  5. Step 5: Solve for x
    x = 12,937,890,653.73/180,810.62
  6. Step 6: Final answer
    x = 71,554.93

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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.