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Finding the Fourth Proportional to 100,948.40, 151,422.60 and 34,366.40

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Solution

The fourth proportional to 100,948.40, 151,422.60 and 34,366.40 is: 51,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948.40 : 151,422.60 = 34,366.40 : x
  2. Step 2: Convert to fraction form
    100,948.40/151,422.60 = 34,366.40/x
  3. Step 3: Cross multiply
    100,948.40x = 151,422.60 × 34,366.40
  4. Step 4: Simplify right side
    100,948.40x = 5,203,849,640.64
  5. Step 5: Solve for x
    x = 5,203,849,640.64/100,948.40
  6. Step 6: Final answer
    x = 51,549.60

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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.