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Finding the Fourth Proportional to 141,408.59, 195,143.51 and 77,747.45

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Solution

The fourth proportional to 141,408.59, 195,143.51 and 77,747.45 is: 107,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,408.59 : 195,143.51 = 77,747.45 : x
  2. Step 2: Convert to fraction form
    141,408.59/195,143.51 = 77,747.45/x
  3. Step 3: Cross multiply
    141,408.59x = 195,143.51 × 77,747.45
  4. Step 4: Simplify right side
    141,408.59x = 15,171,909,505.20
  5. Step 5: Solve for x
    x = 15,171,909,505.20/141,408.59
  6. Step 6: Final answer
    x = 107,291.29

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1.5x scale

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.