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Finding the Fourth Proportional to 182,294.46, 251,616.05 and 105,837.50

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Solution

The fourth proportional to 182,294.46, 251,616.05 and 105,837.50 is: 146,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,294.46 : 251,616.05 = 105,837.50 : x
  2. Step 2: Convert to fraction form
    182,294.46/251,616.05 = 105,837.50/x
  3. Step 3: Cross multiply
    182,294.46x = 251,616.05 × 105,837.50
  4. Step 4: Simplify right side
    182,294.46x = 26,630,413,368.61
  5. Step 5: Solve for x
    x = 26,630,413,368.61/182,294.46
  6. Step 6: Final answer
    x = 146,084.60

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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.