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Finding the Fourth Proportional to 178,095.88, 267,141.57 and 71,527

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Solution

The fourth proportional to 178,095.88, 267,141.57 and 71,527 is: 107,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,095.88 : 267,141.57 = 71,527 : x
  2. Step 2: Convert to fraction form
    178,095.88/267,141.57 = 71,527/x
  3. Step 3: Cross multiply
    178,095.88x = 267,141.57 × 71,527
  4. Step 4: Simplify right side
    178,095.88x = 19,107,835,077.39
  5. Step 5: Solve for x
    x = 19,107,835,077.39/178,095.88
  6. Step 6: Final answer
    x = 107,289.60

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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.