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Finding the Fourth Proportional to 169,867.68, 254,802.06 and 51,540

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Solution

The fourth proportional to 169,867.68, 254,802.06 and 51,540 is: 77,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,867.68 : 254,802.06 = 51,540 : x
  2. Step 2: Convert to fraction form
    169,867.68/254,802.06 = 51,540/x
  3. Step 3: Cross multiply
    169,867.68x = 254,802.06 × 51,540
  4. Step 4: Simplify right side
    169,867.68x = 13,132,498,172.40
  5. Step 5: Solve for x
    x = 13,132,498,172.40/169,867.68
  6. Step 6: Final answer
    x = 77,310.16

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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.