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Finding the Fourth Proportional to 151,576.68, 209,177.14 and 83,596.34

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Solution

The fourth proportional to 151,576.68, 209,177.14 and 83,596.34 is: 115,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,576.68 : 209,177.14 = 83,596.34 : x
  2. Step 2: Convert to fraction form
    151,576.68/209,177.14 = 83,596.34/x
  3. Step 3: Cross multiply
    151,576.68x = 209,177.14 × 83,596.34
  4. Step 4: Simplify right side
    151,576.68x = 17,486,443,315.67
  5. Step 5: Solve for x
    x = 17,486,443,315.67/151,576.68
  6. Step 6: Final answer
    x = 115,363.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.