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Finding the Fourth Proportional to 235,744.40, 353,335.32 and 164,279.92

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Solution

The fourth proportional to 235,744.40, 353,335.32 and 164,279.92 is: 246,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,744.40 : 353,335.32 = 164,279.92 : x
  2. Step 2: Convert to fraction form
    235,744.40/353,335.32 = 164,279.92/x
  3. Step 3: Cross multiply
    235,744.40x = 353,335.32 × 164,279.92
  4. Step 4: Simplify right side
    235,744.40x = 58,045,898,102.77
  5. Step 5: Solve for x
    x = 58,045,898,102.77/235,744.40
  6. Step 6: Final answer
    x = 246,223.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.