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Finding the Fourth Proportional to 168,815.66, 232,915.03 and 97,193.84

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Solution

The fourth proportional to 168,815.66, 232,915.03 and 97,193.84 is: 134,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,815.66 : 232,915.03 = 97,193.84 : x
  2. Step 2: Convert to fraction form
    168,815.66/232,915.03 = 97,193.84/x
  3. Step 3: Cross multiply
    168,815.66x = 232,915.03 × 97,193.84
  4. Step 4: Simplify right side
    168,815.66x = 22,637,904,751.86
  5. Step 5: Solve for x
    x = 22,637,904,751.86/168,815.66
  6. Step 6: Final answer
    x = 134,098.37

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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.