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Finding the Fourth Proportional to 233,291.50, 349,664.11 and 89,102.86

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Solution

The fourth proportional to 233,291.50, 349,664.11 and 89,102.86 is: 133,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,291.50 : 349,664.11 = 89,102.86 : x
  2. Step 2: Convert to fraction form
    233,291.50/349,664.11 = 89,102.86/x
  3. Step 3: Cross multiply
    233,291.50x = 349,664.11 × 89,102.86
  4. Step 4: Simplify right side
    233,291.50x = 31,156,071,143.44
  5. Step 5: Solve for x
    x = 31,156,071,143.44/233,291.50
  6. Step 6: Final answer
    x = 133,549.96

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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.