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Finding the Fourth Proportional to 128,947.87, 193,412.66 and 34,175.95

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Solution

The fourth proportional to 128,947.87, 193,412.66 and 34,175.95 is: 51,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,947.87 : 193,412.66 = 34,175.95 : x
  2. Step 2: Convert to fraction form
    128,947.87/193,412.66 = 34,175.95/x
  3. Step 3: Cross multiply
    128,947.87x = 193,412.66 × 34,175.95
  4. Step 4: Simplify right side
    128,947.87x = 6,610,061,397.53
  5. Step 5: Solve for x
    x = 6,610,061,397.53/128,947.87
  6. Step 6: Final answer
    x = 51,261.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.