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Finding the Fourth Proportional to 233,188.92, 349,815.96 and 114,861.24

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Solution

The fourth proportional to 233,188.92, 349,815.96 and 114,861.24 is: 172,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,188.92 : 349,815.96 = 114,861.24 : x
  2. Step 2: Convert to fraction form
    233,188.92/349,815.96 = 114,861.24/x
  3. Step 3: Cross multiply
    233,188.92x = 349,815.96 × 114,861.24
  4. Step 4: Simplify right side
    233,188.92x = 40,180,294,937.39
  5. Step 5: Solve for x
    x = 40,180,294,937.39/233,188.92
  6. Step 6: Final answer
    x = 172,307.91

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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.