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Finding the Fourth Proportional to 178,416, 246,191.47 and 97,822.35

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Solution

The fourth proportional to 178,416, 246,191.47 and 97,822.35 is: 134,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,416 : 246,191.47 = 97,822.35 : x
  2. Step 2: Convert to fraction form
    178,416/246,191.47 = 97,822.35/x
  3. Step 3: Cross multiply
    178,416x = 246,191.47 × 97,822.35
  4. Step 4: Simplify right side
    178,416x = 24,083,027,900.80
  5. Step 5: Solve for x
    x = 24,083,027,900.80/178,416
  6. Step 6: Final answer
    x = 134,982.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.