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Finding the Fourth Proportional to 342,188.96, 513,350.87 and 117,494.75

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Solution

The fourth proportional to 342,188.96, 513,350.87 and 117,494.75 is: 176,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,188.96 : 513,350.87 = 117,494.75 : x
  2. Step 2: Convert to fraction form
    342,188.96/513,350.87 = 117,494.75/x
  3. Step 3: Cross multiply
    342,188.96x = 513,350.87 × 117,494.75
  4. Step 4: Simplify right side
    342,188.96x = 60,316,032,828.84
  5. Step 5: Solve for x
    x = 60,316,032,828.84/342,188.96
  6. Step 6: Final answer
    x = 176,265.28

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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.