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Finding the Fourth Proportional to 114,471.96, 157,966.92 and 63,486.78

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Solution

The fourth proportional to 114,471.96, 157,966.92 and 63,486.78 is: 87,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,471.96 : 157,966.92 = 63,486.78 : x
  2. Step 2: Convert to fraction form
    114,471.96/157,966.92 = 63,486.78/x
  3. Step 3: Cross multiply
    114,471.96x = 157,966.92 × 63,486.78
  4. Step 4: Simplify right side
    114,471.96x = 10,028,811,097.32
  5. Step 5: Solve for x
    x = 10,028,811,097.32/114,471.96
  6. Step 6: Final answer
    x = 87,609.32

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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.