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Finding the Fourth Proportional to 168,878, 233,031.38 and 97,281.30

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Solution

The fourth proportional to 168,878, 233,031.38 and 97,281.30 is: 134,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,878 : 233,031.38 = 97,281.30 : x
  2. Step 2: Convert to fraction form
    168,878/233,031.38 = 97,281.30/x
  3. Step 3: Cross multiply
    168,878x = 233,031.38 × 97,281.30
  4. Step 4: Simplify right side
    168,878x = 22,669,595,587.19
  5. Step 5: Solve for x
    x = 22,669,595,587.19/168,878
  6. Step 6: Final answer
    x = 134,236.52

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