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Finding the Fourth Proportional to 133,711.76, 200,458.20 and 67,071.44

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Solution

The fourth proportional to 133,711.76, 200,458.20 and 67,071.44 is: 100,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,711.76 : 200,458.20 = 67,071.44 : x
  2. Step 2: Convert to fraction form
    133,711.76/200,458.20 = 67,071.44/x
  3. Step 3: Cross multiply
    133,711.76x = 200,458.20 × 67,071.44
  4. Step 4: Simplify right side
    133,711.76x = 13,445,020,133.81
  5. Step 5: Solve for x
    x = 13,445,020,133.81/133,711.76
  6. Step 6: Final answer
    x = 100,552.26

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1.5x scale

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.