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Finding the Fourth Proportional to 123,034.16, 183,877.02 and 89,824.16

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Solution

The fourth proportional to 123,034.16, 183,877.02 and 89,824.16 is: 134,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,034.16 : 183,877.02 = 89,824.16 : x
  2. Step 2: Convert to fraction form
    123,034.16/183,877.02 = 89,824.16/x
  3. Step 3: Cross multiply
    123,034.16x = 183,877.02 × 89,824.16
  4. Step 4: Simplify right side
    123,034.16x = 16,516,598,864.80
  5. Step 5: Solve for x
    x = 16,516,598,864.80/123,034.16
  6. Step 6: Final answer
    x = 134,244.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.