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Finding the Fourth Proportional to 233,318.40, 349,747.20 and 114,892.80

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Solution

The fourth proportional to 233,318.40, 349,747.20 and 114,892.80 is: 172,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,318.40 : 349,747.20 = 114,892.80 : x
  2. Step 2: Convert to fraction form
    233,318.40/349,747.20 = 114,892.80/x
  3. Step 3: Cross multiply
    233,318.40x = 349,747.20 × 114,892.80
  4. Step 4: Simplify right side
    233,318.40x = 40,183,435,100.16
  5. Step 5: Solve for x
    x = 40,183,435,100.16/233,318.40
  6. Step 6: Final answer
    x = 172,225.74

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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.