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Finding the Fourth Proportional to 135,149.31, 202,527.14 and 64,946.61

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Solution

The fourth proportional to 135,149.31, 202,527.14 and 64,946.61 is: 97,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,149.31 : 202,527.14 = 64,946.61 : x
  2. Step 2: Convert to fraction form
    135,149.31/202,527.14 = 64,946.61/x
  3. Step 3: Cross multiply
    135,149.31x = 202,527.14 × 64,946.61
  4. Step 4: Simplify right side
    135,149.31x = 13,153,450,851.26
  5. Step 5: Solve for x
    x = 13,153,450,851.26/135,149.31
  6. Step 6: Final answer
    x = 97,325.33

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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.