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Finding the Fourth Proportional to 178,703.34, 267,646.74 and 85,274.70

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Solution

The fourth proportional to 178,703.34, 267,646.74 and 85,274.70 is: 127,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,703.34 : 267,646.74 = 85,274.70 : x
  2. Step 2: Convert to fraction form
    178,703.34/267,646.74 = 85,274.70/x
  3. Step 3: Cross multiply
    178,703.34x = 267,646.74 × 85,274.70
  4. Step 4: Simplify right side
    178,703.34x = 22,823,495,459.48
  5. Step 5: Solve for x
    x = 22,823,495,459.48/178,703.34
  6. Step 6: Final answer
    x = 127,717.23

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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.