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Finding the Fourth Proportional to 121,397.40, 182,484.90 and 86,578.20

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Solution

The fourth proportional to 121,397.40, 182,484.90 and 86,578.20 is: 130,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,397.40 : 182,484.90 = 86,578.20 : x
  2. Step 2: Convert to fraction form
    121,397.40/182,484.90 = 86,578.20/x
  3. Step 3: Cross multiply
    121,397.40x = 182,484.90 × 86,578.20
  4. Step 4: Simplify right side
    121,397.40x = 15,799,214,169.18
  5. Step 5: Solve for x
    x = 15,799,214,169.18/121,397.40
  6. Step 6: Final answer
    x = 130,144.58

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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.