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Finding the Fourth Proportional to 223,842.74, 308,893.65 and 123,234.26

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Solution

The fourth proportional to 223,842.74, 308,893.65 and 123,234.26 is: 170,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,842.74 : 308,893.65 = 123,234.26 : x
  2. Step 2: Convert to fraction form
    223,842.74/308,893.65 = 123,234.26/x
  3. Step 3: Cross multiply
    223,842.74x = 308,893.65 × 123,234.26
  4. Step 4: Simplify right side
    223,842.74x = 38,066,280,376.45
  5. Step 5: Solve for x
    x = 38,066,280,376.45/223,842.74
  6. Step 6: Final answer
    x = 170,058.14

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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.