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Finding the Fourth Proportional to 186,234.96, 257,010.08 and 105,665.88

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Solution

The fourth proportional to 186,234.96, 257,010.08 and 105,665.88 is: 145,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,234.96 : 257,010.08 = 105,665.88 : x
  2. Step 2: Convert to fraction form
    186,234.96/257,010.08 = 105,665.88/x
  3. Step 3: Cross multiply
    186,234.96x = 257,010.08 × 105,665.88
  4. Step 4: Simplify right side
    186,234.96x = 27,157,195,743.74
  5. Step 5: Solve for x
    x = 27,157,195,743.74/186,234.96
  6. Step 6: Final answer
    x = 145,822.22

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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.