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Finding the Fourth Proportional to 232,548.29, 320,878.01 and 137,042.00

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Solution

The fourth proportional to 232,548.29, 320,878.01 and 137,042.00 is: 189,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,548.29 : 320,878.01 = 137,042.00 : x
  2. Step 2: Convert to fraction form
    232,548.29/320,878.01 = 137,042.00/x
  3. Step 3: Cross multiply
    232,548.29x = 320,878.01 × 137,042.00
  4. Step 4: Simplify right side
    232,548.29x = 43,973,761,956.82
  5. Step 5: Solve for x
    x = 43,973,761,956.82/232,548.29
  6. Step 6: Final answer
    x = 189,095.19

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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.