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Finding the Fourth Proportional to 233,695.85, 322,766.28 and 157,081.93

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Solution

The fourth proportional to 233,695.85, 322,766.28 and 157,081.93 is: 216,951.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,695.85 : 322,766.28 = 157,081.93 : x
  2. Step 2: Convert to fraction form
    233,695.85/322,766.28 = 157,081.93/x
  3. Step 3: Cross multiply
    233,695.85x = 322,766.28 × 157,081.93
  4. Step 4: Simplify right side
    233,695.85x = 50,700,749,394.40
  5. Step 5: Solve for x
    x = 50,700,749,394.40/233,695.85
  6. Step 6: Final answer
    x = 216,951.86

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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.