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Finding the Fourth Proportional to 185,492.68, 278,255.70 and 52,374.28

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Solution

The fourth proportional to 185,492.68, 278,255.70 and 52,374.28 is: 78,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,492.68 : 278,255.70 = 52,374.28 : x
  2. Step 2: Convert to fraction form
    185,492.68/278,255.70 = 52,374.28/x
  3. Step 3: Cross multiply
    185,492.68x = 278,255.70 × 52,374.28
  4. Step 4: Simplify right side
    185,492.68x = 14,573,441,943.40
  5. Step 5: Solve for x
    x = 14,573,441,943.40/185,492.68
  6. Step 6: Final answer
    x = 78,566.13

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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.