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Finding the Fourth Proportional to 194,228, 291,342.16 and 111,063.68

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Solution

The fourth proportional to 194,228, 291,342.16 and 111,063.68 is: 166,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,228 : 291,342.16 = 111,063.68 : x
  2. Step 2: Convert to fraction form
    194,228/291,342.16 = 111,063.68/x
  3. Step 3: Cross multiply
    194,228x = 291,342.16 × 111,063.68
  4. Step 4: Simplify right side
    194,228x = 32,357,532,428.75
  5. Step 5: Solve for x
    x = 32,357,532,428.75/194,228
  6. Step 6: Final answer
    x = 166,595.61

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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.