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Finding the Fourth Proportional to 233,514.76, 350,321.34 and 75,730.91

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Solution

The fourth proportional to 233,514.76, 350,321.34 and 75,730.91 is: 113,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,514.76 : 350,321.34 = 75,730.91 : x
  2. Step 2: Convert to fraction form
    233,514.76/350,321.34 = 75,730.91/x
  3. Step 3: Cross multiply
    233,514.76x = 350,321.34 × 75,730.91
  4. Step 4: Simplify right side
    233,514.76x = 26,530,153,870.62
  5. Step 5: Solve for x
    x = 26,530,153,870.62/233,514.76
  6. Step 6: Final answer
    x = 113,612.32

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1.5x scale

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.