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Finding the Fourth Proportional to 178,502.13, 267,670.13 and 66,177.81

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Solution

The fourth proportional to 178,502.13, 267,670.13 and 66,177.81 is: 99,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,502.13 : 267,670.13 = 66,177.81 : x
  2. Step 2: Convert to fraction form
    178,502.13/267,670.13 = 66,177.81/x
  3. Step 3: Cross multiply
    178,502.13x = 267,670.13 × 66,177.81
  4. Step 4: Simplify right side
    178,502.13x = 17,713,822,674.93
  5. Step 5: Solve for x
    x = 17,713,822,674.93/178,502.13
  6. Step 6: Final answer
    x = 99,235.92

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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.