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Finding the Fourth Proportional to 178,397.64, 246,196.20 and 97,828.26

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Solution

The fourth proportional to 178,397.64, 246,196.20 and 97,828.26 is: 135,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,397.64 : 246,196.20 = 97,828.26 : x
  2. Step 2: Convert to fraction form
    178,397.64/246,196.20 = 97,828.26/x
  3. Step 3: Cross multiply
    178,397.64x = 246,196.20 × 97,828.26
  4. Step 4: Simplify right side
    178,397.64x = 24,084,945,864.61
  5. Step 5: Solve for x
    x = 24,084,945,864.61/178,397.64
  6. Step 6: Final answer
    x = 135,007.09

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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.