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Finding the Fourth Proportional to 233,971.92, 322,881.30 and 132,019.00

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Solution

The fourth proportional to 233,971.92, 322,881.30 and 132,019.00 is: 182,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,971.92 : 322,881.30 = 132,019.00 : x
  2. Step 2: Convert to fraction form
    233,971.92/322,881.30 = 132,019.00/x
  3. Step 3: Cross multiply
    233,971.92x = 322,881.30 × 132,019.00
  4. Step 4: Simplify right side
    233,971.92x = 42,626,465,537.50
  5. Step 5: Solve for x
    x = 42,626,465,537.50/233,971.92
  6. Step 6: Final answer
    x = 182,186.24

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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.