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Finding the Fourth Proportional to 181,278, 271,847.58 and 59,670

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Solution

The fourth proportional to 181,278, 271,847.58 and 59,670 is: 89,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,278 : 271,847.58 = 59,670 : x
  2. Step 2: Convert to fraction form
    181,278/271,847.58 = 59,670/x
  3. Step 3: Cross multiply
    181,278x = 271,847.58 × 59,670
  4. Step 4: Simplify right side
    181,278x = 16,221,145,098.60
  5. Step 5: Solve for x
    x = 16,221,145,098.60/181,278
  6. Step 6: Final answer
    x = 89,482.15

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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.