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Finding the Fourth Proportional to 141,404.66, 195,138.93 and 77,746.46

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Solution

The fourth proportional to 141,404.66, 195,138.93 and 77,746.46 is: 107,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,404.66 : 195,138.93 = 77,746.46 : x
  2. Step 2: Convert to fraction form
    141,404.66/195,138.93 = 77,746.46/x
  3. Step 3: Cross multiply
    141,404.66x = 195,138.93 × 77,746.46
  4. Step 4: Simplify right side
    141,404.66x = 15,171,361,015.69
  5. Step 5: Solve for x
    x = 15,171,361,015.69/141,404.66
  6. Step 6: Final answer
    x = 107,290.39

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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.