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Finding the Fourth Proportional to 342,657.56, 513,690.72 and 164,920.04

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Solution

The fourth proportional to 342,657.56, 513,690.72 and 164,920.04 is: 247,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,657.56 : 513,690.72 = 164,920.04 : x
  2. Step 2: Convert to fraction form
    342,657.56/513,690.72 = 164,920.04/x
  3. Step 3: Cross multiply
    342,657.56x = 513,690.72 × 164,920.04
  4. Step 4: Simplify right side
    342,657.56x = 84,717,894,090.03
  5. Step 5: Solve for x
    x = 84,717,894,090.03/342,657.56
  6. Step 6: Final answer
    x = 247,237.78

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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.