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Finding the Fourth Proportional to 144,024.96, 198,722.56 and 83,560.56

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Solution

The fourth proportional to 144,024.96, 198,722.56 and 83,560.56 is: 115,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,024.96 : 198,722.56 = 83,560.56 : x
  2. Step 2: Convert to fraction form
    144,024.96/198,722.56 = 83,560.56/x
  3. Step 3: Cross multiply
    144,024.96x = 198,722.56 × 83,560.56
  4. Step 4: Simplify right side
    144,024.96x = 16,605,368,398.23
  5. Step 5: Solve for x
    x = 16,605,368,398.23/144,024.96
  6. Step 6: Final answer
    x = 115,295.07

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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.