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Finding the Fourth Proportional to 156,748.70, 235,123.05 and 83,020.70

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Solution

The fourth proportional to 156,748.70, 235,123.05 and 83,020.70 is: 124,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,748.70 : 235,123.05 = 83,020.70 : x
  2. Step 2: Convert to fraction form
    156,748.70/235,123.05 = 83,020.70/x
  3. Step 3: Cross multiply
    156,748.70x = 235,123.05 × 83,020.70
  4. Step 4: Simplify right side
    156,748.70x = 19,520,080,197.14
  5. Step 5: Solve for x
    x = 19,520,080,197.14/156,748.70
  6. Step 6: Final answer
    x = 124,531.05

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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.