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Finding the Fourth Proportional to 185,816.88, 256,421.43 and 105,251.85

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Solution

The fourth proportional to 185,816.88, 256,421.43 and 105,251.85 is: 145,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,816.88 : 256,421.43 = 105,251.85 : x
  2. Step 2: Convert to fraction form
    185,816.88/256,421.43 = 105,251.85/x
  3. Step 3: Cross multiply
    185,816.88x = 256,421.43 × 105,251.85
  4. Step 4: Simplify right side
    185,816.88x = 26,988,829,887.15
  5. Step 5: Solve for x
    x = 26,988,829,887.15/185,816.88
  6. Step 6: Final answer
    x = 145,244.23

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