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Finding the Fourth Proportional to 514,888.89, 772,385.22 and 135,835.83

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Solution

The fourth proportional to 514,888.89, 772,385.22 and 135,835.83 is: 203,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,888.89 : 772,385.22 = 135,835.83 : x
  2. Step 2: Convert to fraction form
    514,888.89/772,385.22 = 135,835.83/x
  3. Step 3: Cross multiply
    514,888.89x = 772,385.22 × 135,835.83
  4. Step 4: Simplify right side
    514,888.89x = 104,917,587,438.43
  5. Step 5: Solve for x
    x = 104,917,587,438.43/514,888.89
  6. Step 6: Final answer
    x = 203,767.43

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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.