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Finding the Fourth Proportional to 137,632.80, 189,921.84 and 77,195.04

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Solution

The fourth proportional to 137,632.80, 189,921.84 and 77,195.04 is: 106,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,632.80 : 189,921.84 = 77,195.04 : x
  2. Step 2: Convert to fraction form
    137,632.80/189,921.84 = 77,195.04/x
  3. Step 3: Cross multiply
    137,632.80x = 189,921.84 × 77,195.04
  4. Step 4: Simplify right side
    137,632.80x = 14,661,024,035.67
  5. Step 5: Solve for x
    x = 14,661,024,035.67/137,632.80
  6. Step 6: Final answer
    x = 106,522.75

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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.