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Finding the Fourth Proportional to 109,543.76, 151,181.89 and 64,223.65

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Solution

The fourth proportional to 109,543.76, 151,181.89 and 64,223.65 is: 88,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,543.76 : 151,181.89 = 64,223.65 : x
  2. Step 2: Convert to fraction form
    109,543.76/151,181.89 = 64,223.65/x
  3. Step 3: Cross multiply
    109,543.76x = 151,181.89 × 64,223.65
  4. Step 4: Simplify right side
    109,543.76x = 9,709,453,179.37
  5. Step 5: Solve for x
    x = 9,709,453,179.37/109,543.76
  6. Step 6: Final answer
    x = 88,635.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.