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Finding the Fourth Proportional to 149,856.60, 224,128.80 and 114,427.20

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Solution

The fourth proportional to 149,856.60, 224,128.80 and 114,427.20 is: 171,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,856.60 : 224,128.80 = 114,427.20 : x
  2. Step 2: Convert to fraction form
    149,856.60/224,128.80 = 114,427.20/x
  3. Step 3: Cross multiply
    149,856.60x = 224,128.80 × 114,427.20
  4. Step 4: Simplify right side
    149,856.60x = 25,646,431,023.36
  5. Step 5: Solve for x
    x = 25,646,431,023.36/149,856.60
  6. Step 6: Final answer
    x = 171,139.82

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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.