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Finding the Fourth Proportional to 182,051.66, 251,231.82 and 105,585.50

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Solution

The fourth proportional to 182,051.66, 251,231.82 and 105,585.50 is: 145,708.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,051.66 : 251,231.82 = 105,585.50 : x
  2. Step 2: Convert to fraction form
    182,051.66/251,231.82 = 105,585.50/x
  3. Step 3: Cross multiply
    182,051.66x = 251,231.82 × 105,585.50
  4. Step 4: Simplify right side
    182,051.66x = 26,526,437,330.61
  5. Step 5: Solve for x
    x = 26,526,437,330.61/182,051.66
  6. Step 6: Final answer
    x = 145,708.30

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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.