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Finding the Fourth Proportional to 194,024.94, 291,188.25 and 88,849.86

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Solution

The fourth proportional to 194,024.94, 291,188.25 and 88,849.86 is: 133,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,024.94 : 291,188.25 = 88,849.86 : x
  2. Step 2: Convert to fraction form
    194,024.94/291,188.25 = 88,849.86/x
  3. Step 3: Cross multiply
    194,024.94x = 291,188.25 × 88,849.86
  4. Step 4: Simplify right side
    194,024.94x = 25,872,035,246.15
  5. Step 5: Solve for x
    x = 25,872,035,246.15/194,024.94
  6. Step 6: Final answer
    x = 133,343.86

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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.