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Finding the Fourth Proportional to 182,294.84, 251,616.57 and 105,837.87

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Solution

The fourth proportional to 182,294.84, 251,616.57 and 105,837.87 is: 146,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,294.84 : 251,616.57 = 105,837.87 : x
  2. Step 2: Convert to fraction form
    182,294.84/251,616.57 = 105,837.87/x
  3. Step 3: Cross multiply
    182,294.84x = 251,616.57 × 105,837.87
  4. Step 4: Simplify right side
    182,294.84x = 26,630,561,825.51
  5. Step 5: Solve for x
    x = 26,630,561,825.51/182,294.84
  6. Step 6: Final answer
    x = 146,085.11

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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.