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Finding the Fourth Proportional to 133,030.38, 199,730.10 and 83,306.10

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Solution

The fourth proportional to 133,030.38, 199,730.10 and 83,306.10 is: 125,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,030.38 : 199,730.10 = 83,306.10 : x
  2. Step 2: Convert to fraction form
    133,030.38/199,730.10 = 83,306.10/x
  3. Step 3: Cross multiply
    133,030.38x = 199,730.10 × 83,306.10
  4. Step 4: Simplify right side
    133,030.38x = 16,638,735,683.61
  5. Step 5: Solve for x
    x = 16,638,735,683.61/133,030.38
  6. Step 6: Final answer
    x = 125,074.71

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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.