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Finding the Fourth Proportional to 114,196.85, 171,294.32 and 89,257.86

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Solution

The fourth proportional to 114,196.85, 171,294.32 and 89,257.86 is: 133,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,196.85 : 171,294.32 = 89,257.86 : x
  2. Step 2: Convert to fraction form
    114,196.85/171,294.32 = 89,257.86/x
  3. Step 3: Cross multiply
    114,196.85x = 171,294.32 × 89,257.86
  4. Step 4: Simplify right side
    114,196.85x = 15,289,364,656.50
  5. Step 5: Solve for x
    x = 15,289,364,656.50/114,196.85
  6. Step 6: Final answer
    x = 133,886.04

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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.