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Finding the Fourth Proportional to 178,802.76, 268,254.36 and 52,446

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Solution

The fourth proportional to 178,802.76, 268,254.36 and 52,446 is: 78,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,802.76 : 268,254.36 = 52,446 : x
  2. Step 2: Convert to fraction form
    178,802.76/268,254.36 = 52,446/x
  3. Step 3: Cross multiply
    178,802.76x = 268,254.36 × 52,446
  4. Step 4: Simplify right side
    178,802.76x = 14,068,868,164.56
  5. Step 5: Solve for x
    x = 14,068,868,164.56/178,802.76
  6. Step 6: Final answer
    x = 78,683.73

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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.