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Finding the Fourth Proportional to 123,097.53, 169,642.61 and 89,048.19

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Solution

The fourth proportional to 123,097.53, 169,642.61 and 89,048.19 is: 122,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,097.53 : 169,642.61 = 89,048.19 : x
  2. Step 2: Convert to fraction form
    123,097.53/169,642.61 = 89,048.19/x
  3. Step 3: Cross multiply
    123,097.53x = 169,642.61 × 89,048.19
  4. Step 4: Simplify right side
    123,097.53x = 15,106,366,922.14
  5. Step 5: Solve for x
    x = 15,106,366,922.14/123,097.53
  6. Step 6: Final answer
    x = 122,718.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.