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Finding the Fourth Proportional to 233,191.92, 349,820.46 and 114,864.24

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Solution

The fourth proportional to 233,191.92, 349,820.46 and 114,864.24 is: 172,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,191.92 : 349,820.46 = 114,864.24 : x
  2. Step 2: Convert to fraction form
    233,191.92/349,820.46 = 114,864.24/x
  3. Step 3: Cross multiply
    233,191.92x = 349,820.46 × 114,864.24
  4. Step 4: Simplify right side
    233,191.92x = 40,181,861,274.35
  5. Step 5: Solve for x
    x = 40,181,861,274.35/233,191.92
  6. Step 6: Final answer
    x = 172,312.41

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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.