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Finding the Fourth Proportional to 182,294.55, 251,619.27 and 105,830.82

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Solution

The fourth proportional to 182,294.55, 251,619.27 and 105,830.82 is: 146,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,294.55 : 251,619.27 = 105,830.82 : x
  2. Step 2: Convert to fraction form
    182,294.55/251,619.27 = 105,830.82/x
  3. Step 3: Cross multiply
    182,294.55x = 251,619.27 × 105,830.82
  4. Step 4: Simplify right side
    182,294.55x = 26,629,073,671.90
  5. Step 5: Solve for x
    x = 26,629,073,671.90/182,294.55
  6. Step 6: Final answer
    x = 146,077.18

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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.