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Finding the Fourth Proportional to 109,486.33, 151,096.32 and 61,738.65

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Solution

The fourth proportional to 109,486.33, 151,096.32 and 61,738.65 is: 85,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486.33 : 151,096.32 = 61,738.65 : x
  2. Step 2: Convert to fraction form
    109,486.33/151,096.32 = 61,738.65/x
  3. Step 3: Cross multiply
    109,486.33x = 151,096.32 × 61,738.65
  4. Step 4: Simplify right side
    109,486.33x = 9,328,482,816.77
  5. Step 5: Solve for x
    x = 9,328,482,816.77/109,486.33
  6. Step 6: Final answer
    x = 85,202.26

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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.