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Finding the Fourth Proportional to 141,400.76, 195,134.36 and 77,739

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Solution

The fourth proportional to 141,400.76, 195,134.36 and 77,739 is: 107,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,400.76 : 195,134.36 = 77,739 : x
  2. Step 2: Convert to fraction form
    141,400.76/195,134.36 = 77,739/x
  3. Step 3: Cross multiply
    141,400.76x = 195,134.36 × 77,739
  4. Step 4: Simplify right side
    141,400.76x = 15,169,549,623.35
  5. Step 5: Solve for x
    x = 15,169,549,623.35/141,400.76
  6. Step 6: Final answer
    x = 107,280.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.