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Finding the Fourth Proportional to 178,717.40, 267,638.70 and 85,113.80

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Solution

The fourth proportional to 178,717.40, 267,638.70 and 85,113.80 is: 127,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,717.40 : 267,638.70 = 85,113.80 : x
  2. Step 2: Convert to fraction form
    178,717.40/267,638.70 = 85,113.80/x
  3. Step 3: Cross multiply
    178,717.40x = 267,638.70 × 85,113.80
  4. Step 4: Simplify right side
    178,717.40x = 22,779,746,784.06
  5. Step 5: Solve for x
    x = 22,779,746,784.06/178,717.40
  6. Step 6: Final answer
    x = 127,462.39

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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.