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Finding the Fourth Proportional to 124,348.68, 186,578.10 and 65,170.22

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Solution

The fourth proportional to 124,348.68, 186,578.10 and 65,170.22 is: 97,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,348.68 : 186,578.10 = 65,170.22 : x
  2. Step 2: Convert to fraction form
    124,348.68/186,578.10 = 65,170.22/x
  3. Step 3: Cross multiply
    124,348.68x = 186,578.10 × 65,170.22
  4. Step 4: Simplify right side
    124,348.68x = 12,159,334,891.29
  5. Step 5: Solve for x
    x = 12,159,334,891.29/124,348.68
  6. Step 6: Final answer
    x = 97,784.19

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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.