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Finding the Fourth Proportional to 153,253.22, 229,985.53 and 53,414.24

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Solution

The fourth proportional to 153,253.22, 229,985.53 and 53,414.24 is: 80,158.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,253.22 : 229,985.53 = 53,414.24 : x
  2. Step 2: Convert to fraction form
    153,253.22/229,985.53 = 53,414.24/x
  3. Step 3: Cross multiply
    153,253.22x = 229,985.53 × 53,414.24
  4. Step 4: Simplify right side
    153,253.22x = 12,284,501,012.48
  5. Step 5: Solve for x
    x = 12,284,501,012.48/153,253.22
  6. Step 6: Final answer
    x = 80,158.19

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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.