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Finding the Fourth Proportional to 233,566.92, 350,276.55 and 83,803.86

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Solution

The fourth proportional to 233,566.92, 350,276.55 and 83,803.86 is: 125,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,566.92 : 350,276.55 = 83,803.86 : x
  2. Step 2: Convert to fraction form
    233,566.92/350,276.55 = 83,803.86/x
  3. Step 3: Cross multiply
    233,566.92x = 350,276.55 × 83,803.86
  4. Step 4: Simplify right side
    233,566.92x = 29,354,526,957.48
  5. Step 5: Solve for x
    x = 29,354,526,957.48/233,566.92
  6. Step 6: Final answer
    x = 125,679.30

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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.