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Finding the Fourth Proportional to 178,813, 267,811.26 and 85,384.36

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Solution

The fourth proportional to 178,813, 267,811.26 and 85,384.36 is: 127,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,813 : 267,811.26 = 85,384.36 : x
  2. Step 2: Convert to fraction form
    178,813/267,811.26 = 85,384.36/x
  3. Step 3: Cross multiply
    178,813x = 267,811.26 × 85,384.36
  4. Step 4: Simplify right side
    178,813x = 22,866,893,035.89
  5. Step 5: Solve for x
    x = 22,866,893,035.89/178,813
  6. Step 6: Final answer
    x = 127,881.60

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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.