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Finding the Fourth Proportional to 169,349.34, 233,648.90 and 97,719.96

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Solution

The fourth proportional to 169,349.34, 233,648.90 and 97,719.96 is: 134,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,349.34 : 233,648.90 = 97,719.96 : x
  2. Step 2: Convert to fraction form
    169,349.34/233,648.90 = 97,719.96/x
  3. Step 3: Cross multiply
    169,349.34x = 233,648.90 × 97,719.96
  4. Step 4: Simplify right side
    169,349.34x = 22,832,161,162.04
  5. Step 5: Solve for x
    x = 22,832,161,162.04/169,349.34
  6. Step 6: Final answer
    x = 134,822.85

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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.