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Finding the Fourth Proportional to 138,816.56, 208,264.20 and 55,768.88

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Solution

The fourth proportional to 138,816.56, 208,264.20 and 55,768.88 is: 83,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,816.56 : 208,264.20 = 55,768.88 : x
  2. Step 2: Convert to fraction form
    138,816.56/208,264.20 = 55,768.88/x
  3. Step 3: Cross multiply
    138,816.56x = 208,264.20 × 55,768.88
  4. Step 4: Simplify right side
    138,816.56x = 11,614,661,178.10
  5. Step 5: Solve for x
    x = 11,614,661,178.10/138,816.56
  6. Step 6: Final answer
    x = 83,669.13

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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.