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Finding the Fourth Proportional to 153,212.88, 229,820.32 and 53,374.96

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Solution

The fourth proportional to 153,212.88, 229,820.32 and 53,374.96 is: 80,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,212.88 : 229,820.32 = 53,374.96 : x
  2. Step 2: Convert to fraction form
    153,212.88/229,820.32 = 53,374.96/x
  3. Step 3: Cross multiply
    153,212.88x = 229,820.32 × 53,374.96
  4. Step 4: Simplify right side
    153,212.88x = 12,266,650,387.19
  5. Step 5: Solve for x
    x = 12,266,650,387.19/153,212.88
  6. Step 6: Final answer
    x = 80,062.79

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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.