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Finding the Fourth Proportional to 81,403.40, 122,105.10 and 77,947.40

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Solution

The fourth proportional to 81,403.40, 122,105.10 and 77,947.40 is: 116,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,403.40 : 122,105.10 = 77,947.40 : x
  2. Step 2: Convert to fraction form
    81,403.40/122,105.10 = 77,947.40/x
  3. Step 3: Cross multiply
    81,403.40x = 122,105.10 × 77,947.40
  4. Step 4: Simplify right side
    81,403.40x = 9,517,775,071.74
  5. Step 5: Solve for x
    x = 9,517,775,071.74/81,403.40
  6. Step 6: Final answer
    x = 116,921.10

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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.