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Finding the Fourth Proportional to 121,397.65, 182,148.92 and 65,172.10

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Solution

The fourth proportional to 121,397.65, 182,148.92 and 65,172.10 is: 97,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,397.65 : 182,148.92 = 65,172.10 : x
  2. Step 2: Convert to fraction form
    121,397.65/182,148.92 = 65,172.10/x
  3. Step 3: Cross multiply
    121,397.65x = 182,148.92 × 65,172.10
  4. Step 4: Simplify right side
    121,397.65x = 11,871,027,336.69
  5. Step 5: Solve for x
    x = 11,871,027,336.69/121,397.65
  6. Step 6: Final answer
    x = 97,786.31

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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.