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Finding the Fourth Proportional to 502,107.63, 753,124.98 and 165,144.39

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Solution

The fourth proportional to 502,107.63, 753,124.98 and 165,144.39 is: 247,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,107.63 : 753,124.98 = 165,144.39 : x
  2. Step 2: Convert to fraction form
    502,107.63/753,124.98 = 165,144.39/x
  3. Step 3: Cross multiply
    502,107.63x = 753,124.98 × 165,144.39
  4. Step 4: Simplify right side
    502,107.63x = 124,374,365,415.86
  5. Step 5: Solve for x
    x = 124,374,365,415.86/502,107.63
  6. Step 6: Final answer
    x = 247,704.59

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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.