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Finding the Fourth Proportional to 133,730.90, 200,531.55 and 74,503.70

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Solution

The fourth proportional to 133,730.90, 200,531.55 and 74,503.70 is: 111,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,730.90 : 200,531.55 = 74,503.70 : x
  2. Step 2: Convert to fraction form
    133,730.90/200,531.55 = 74,503.70/x
  3. Step 3: Cross multiply
    133,730.90x = 200,531.55 × 74,503.70
  4. Step 4: Simplify right side
    133,730.90x = 14,940,342,441.74
  5. Step 5: Solve for x
    x = 14,940,342,441.74/133,730.90
  6. Step 6: Final answer
    x = 111,719.45

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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.