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Finding the Fourth Proportional to 150,314.58, 207,382.64 and 85,737.42

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Solution

The fourth proportional to 150,314.58, 207,382.64 and 85,737.42 is: 118,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,314.58 : 207,382.64 = 85,737.42 : x
  2. Step 2: Convert to fraction form
    150,314.58/207,382.64 = 85,737.42/x
  3. Step 3: Cross multiply
    150,314.58x = 207,382.64 × 85,737.42
  4. Step 4: Simplify right side
    150,314.58x = 17,780,452,077.70
  5. Step 5: Solve for x
    x = 17,780,452,077.70/150,314.58
  6. Step 6: Final answer
    x = 118,288.27

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1.5x scale

Why These Related Problems?

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