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Finding the Fourth Proportional to 123,102.64, 169,851.32 and 69,387.76

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Solution

The fourth proportional to 123,102.64, 169,851.32 and 69,387.76 is: 95,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,102.64 : 169,851.32 = 69,387.76 : x
  2. Step 2: Convert to fraction form
    123,102.64/169,851.32 = 69,387.76/x
  3. Step 3: Cross multiply
    123,102.64x = 169,851.32 × 69,387.76
  4. Step 4: Simplify right side
    123,102.64x = 11,785,602,627.84
  5. Step 5: Solve for x
    x = 11,785,602,627.84/123,102.64
  6. Step 6: Final answer
    x = 95,738.02

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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.