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Finding the Fourth Proportional to 185,199, 278,167.53 and 174,754.26

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Solution

The fourth proportional to 185,199, 278,167.53 and 174,754.26 is: 262,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,199 : 278,167.53 = 174,754.26 : x
  2. Step 2: Convert to fraction form
    185,199/278,167.53 = 174,754.26/x
  3. Step 3: Cross multiply
    185,199x = 278,167.53 × 174,754.26
  4. Step 4: Simplify right side
    185,199x = 48,610,960,861.18
  5. Step 5: Solve for x
    x = 48,610,960,861.18/185,199
  6. Step 6: Final answer
    x = 262,479.61

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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.