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Finding the Fourth Proportional to 149,863.71, 223,702.28 and 130,946.49

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Solution

The fourth proportional to 149,863.71, 223,702.28 and 130,946.49 is: 195,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863.71 : 223,702.28 = 130,946.49 : x
  2. Step 2: Convert to fraction form
    149,863.71/223,702.28 = 130,946.49/x
  3. Step 3: Cross multiply
    149,863.71x = 223,702.28 × 130,946.49
  4. Step 4: Simplify right side
    149,863.71x = 29,293,027,716.26
  5. Step 5: Solve for x
    x = 29,293,027,716.26/149,863.71
  6. Step 6: Final answer
    x = 195,464.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.