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Finding the Fourth Proportional to 178,397.13, 246,195.51 and 97,827.76

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Solution

The fourth proportional to 178,397.13, 246,195.51 and 97,827.76 is: 135,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,397.13 : 246,195.51 = 97,827.76 : x
  2. Step 2: Convert to fraction form
    178,397.13/246,195.51 = 97,827.76/x
  3. Step 3: Cross multiply
    178,397.13x = 246,195.51 × 97,827.76
  4. Step 4: Simplify right side
    178,397.13x = 24,084,755,265.36
  5. Step 5: Solve for x
    x = 24,084,755,265.36/178,397.13
  6. Step 6: Final answer
    x = 135,006.41

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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.