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Finding the Fourth Proportional to 149,352.66, 224,070.52 and 65,120.19

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Solution

The fourth proportional to 149,352.66, 224,070.52 and 65,120.19 is: 97,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,352.66 : 224,070.52 = 65,120.19 : x
  2. Step 2: Convert to fraction form
    149,352.66/224,070.52 = 65,120.19/x
  3. Step 3: Cross multiply
    149,352.66x = 224,070.52 × 65,120.19
  4. Step 4: Simplify right side
    149,352.66x = 14,591,514,835.80
  5. Step 5: Solve for x
    x = 14,591,514,835.80/149,352.66
  6. Step 6: Final answer
    x = 97,698.39

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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.