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Finding the Fourth Proportional to 122,729.64, 169,326.16 and 100,029.64

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Solution

The fourth proportional to 122,729.64, 169,326.16 and 100,029.64 is: 138,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,729.64 : 169,326.16 = 100,029.64 : x
  2. Step 2: Convert to fraction form
    122,729.64/169,326.16 = 100,029.64/x
  3. Step 3: Cross multiply
    122,729.64x = 169,326.16 × 100,029.64
  4. Step 4: Simplify right side
    122,729.64x = 16,937,634,827.38
  5. Step 5: Solve for x
    x = 16,937,634,827.38/122,729.64
  6. Step 6: Final answer
    x = 138,007.70

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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.