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Finding the Fourth Proportional to 141,534.38, 195,320.42 and 77,872.30

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Solution

The fourth proportional to 141,534.38, 195,320.42 and 77,872.30 is: 107,465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,534.38 : 195,320.42 = 77,872.30 : x
  2. Step 2: Convert to fraction form
    141,534.38/195,320.42 = 77,872.30/x
  3. Step 3: Cross multiply
    141,534.38x = 195,320.42 × 77,872.30
  4. Step 4: Simplify right side
    141,534.38x = 15,210,050,342.37
  5. Step 5: Solve for x
    x = 15,210,050,342.37/141,534.38
  6. Step 6: Final answer
    x = 107,465.41

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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.