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Finding the Fourth Proportional to 178,418.12, 246,219.78 and 97,853

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Solution

The fourth proportional to 178,418.12, 246,219.78 and 97,853 is: 135,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,418.12 : 246,219.78 = 97,853 : x
  2. Step 2: Convert to fraction form
    178,418.12/246,219.78 = 97,853/x
  3. Step 3: Cross multiply
    178,418.12x = 246,219.78 × 97,853
  4. Step 4: Simplify right side
    178,418.12x = 24,093,344,132.34
  5. Step 5: Solve for x
    x = 24,093,344,132.34/178,418.12
  6. Step 6: Final answer
    x = 135,038.66

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1.5x scale

Why These Related Problems?

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