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Finding the Fourth Proportional to 169,065.96, 233,310.64 and 97,445.48

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Solution

The fourth proportional to 169,065.96, 233,310.64 and 97,445.48 is: 134,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,065.96 : 233,310.64 = 97,445.48 : x
  2. Step 2: Convert to fraction form
    169,065.96/233,310.64 = 97,445.48/x
  3. Step 3: Cross multiply
    169,065.96x = 233,310.64 × 97,445.48
  4. Step 4: Simplify right side
    169,065.96x = 22,735,067,303.91
  5. Step 5: Solve for x
    x = 22,735,067,303.91/169,065.96
  6. Step 6: Final answer
    x = 134,474.54

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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.