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Finding the Fourth Proportional to 100,963.98, 151,465.41 and 34,407.90

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Solution

The fourth proportional to 100,963.98, 151,465.41 and 34,407.90 is: 51,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,963.98 : 151,465.41 = 34,407.90 : x
  2. Step 2: Convert to fraction form
    100,963.98/151,465.41 = 34,407.90/x
  3. Step 3: Cross multiply
    100,963.98x = 151,465.41 × 34,407.90
  4. Step 4: Simplify right side
    100,963.98x = 5,211,606,680.74
  5. Step 5: Solve for x
    x = 5,211,606,680.74/100,963.98
  6. Step 6: Final answer
    x = 51,618.48

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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.