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Finding the Fourth Proportional to 169,309.74, 233,638.51 and 96,698.35

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Solution

The fourth proportional to 169,309.74, 233,638.51 and 96,698.35 is: 133,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,309.74 : 233,638.51 = 96,698.35 : x
  2. Step 2: Convert to fraction form
    169,309.74/233,638.51 = 96,698.35/x
  3. Step 3: Cross multiply
    169,309.74x = 233,638.51 × 96,698.35
  4. Step 4: Simplify right side
    169,309.74x = 22,592,458,514.06
  5. Step 5: Solve for x
    x = 22,592,458,514.06/169,309.74
  6. Step 6: Final answer
    x = 133,438.62

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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.