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Finding the Fourth Proportional to 168,971.32, 233,154.32 and 97,337.32

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Solution

The fourth proportional to 168,971.32, 233,154.32 and 97,337.32 is: 134,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,971.32 : 233,154.32 = 97,337.32 : x
  2. Step 2: Convert to fraction form
    168,971.32/233,154.32 = 97,337.32/x
  3. Step 3: Cross multiply
    168,971.32x = 233,154.32 × 97,337.32
  4. Step 4: Simplify right side
    168,971.32x = 22,694,616,655.22
  5. Step 5: Solve for x
    x = 22,694,616,655.22/168,971.32
  6. Step 6: Final answer
    x = 134,310.47

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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.