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Finding the Fourth Proportional to 233,710.80, 350,721.48 and 85,966.80

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Solution

The fourth proportional to 233,710.80, 350,721.48 and 85,966.80 is: 129,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,710.80 : 350,721.48 = 85,966.80 : x
  2. Step 2: Convert to fraction form
    233,710.80/350,721.48 = 85,966.80/x
  3. Step 3: Cross multiply
    233,710.80x = 350,721.48 × 85,966.80
  4. Step 4: Simplify right side
    233,710.80x = 30,150,403,326.86
  5. Step 5: Solve for x
    x = 30,150,403,326.86/233,710.80
  6. Step 6: Final answer
    x = 129,007.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.