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Finding the Fourth Proportional to 96,314.40, 144,471.60 and 66,765.60

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Solution

The fourth proportional to 96,314.40, 144,471.60 and 66,765.60 is: 100,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,314.40 : 144,471.60 = 66,765.60 : x
  2. Step 2: Convert to fraction form
    96,314.40/144,471.60 = 66,765.60/x
  3. Step 3: Cross multiply
    96,314.40x = 144,471.60 × 66,765.60
  4. Step 4: Simplify right side
    96,314.40x = 9,645,733,056.96
  5. Step 5: Solve for x
    x = 9,645,733,056.96/96,314.40
  6. Step 6: Final answer
    x = 100,148.40

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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.