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Finding the Fourth Proportional to 132,302.60, 197,967.90 and 97,310.60

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Solution

The fourth proportional to 132,302.60, 197,967.90 and 97,310.60 is: 145,608.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,302.60 : 197,967.90 = 97,310.60 : x
  2. Step 2: Convert to fraction form
    132,302.60/197,967.90 = 97,310.60/x
  3. Step 3: Cross multiply
    132,302.60x = 197,967.90 × 97,310.60
  4. Step 4: Simplify right side
    132,302.60x = 19,264,375,129.74
  5. Step 5: Solve for x
    x = 19,264,375,129.74/132,302.60
  6. Step 6: Final answer
    x = 145,608.44

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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.