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Finding the Fourth Proportional to 132,088.68, 197,944.92 and 65,463.12

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Solution

The fourth proportional to 132,088.68, 197,944.92 and 65,463.12 is: 98,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,088.68 : 197,944.92 = 65,463.12 : x
  2. Step 2: Convert to fraction form
    132,088.68/197,944.92 = 65,463.12/x
  3. Step 3: Cross multiply
    132,088.68x = 197,944.92 × 65,463.12
  4. Step 4: Simplify right side
    132,088.68x = 12,958,092,051.35
  5. Step 5: Solve for x
    x = 12,958,092,051.35/132,088.68
  6. Step 6: Final answer
    x = 98,101.46

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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.