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Finding the Fourth Proportional to 141,437.76, 195,189.12 and 77,780.48

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Solution

The fourth proportional to 141,437.76, 195,189.12 and 77,780.48 is: 107,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,437.76 : 195,189.12 = 77,780.48 : x
  2. Step 2: Convert to fraction form
    141,437.76/195,189.12 = 77,780.48/x
  3. Step 3: Cross multiply
    141,437.76x = 195,189.12 × 77,780.48
  4. Step 4: Simplify right side
    141,437.76x = 15,181,903,444.38
  5. Step 5: Solve for x
    x = 15,181,903,444.38/141,437.76
  6. Step 6: Final answer
    x = 107,339.82

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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.