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Finding the Fourth Proportional to 233,158.92, 349,650.90 and 75,345

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Solution

The fourth proportional to 233,158.92, 349,650.90 and 75,345 is: 112,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,158.92 : 349,650.90 = 75,345 : x
  2. Step 2: Convert to fraction form
    233,158.92/349,650.90 = 75,345/x
  3. Step 3: Cross multiply
    233,158.92x = 349,650.90 × 75,345
  4. Step 4: Simplify right side
    233,158.92x = 26,344,447,060.50
  5. Step 5: Solve for x
    x = 26,344,447,060.50/233,158.92
  6. Step 6: Final answer
    x = 112,989.23

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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.