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Finding the Fourth Proportional to 342,564.48, 513,665.28 and 120,792.96

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Solution

The fourth proportional to 342,564.48, 513,665.28 and 120,792.96 is: 181,125.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,564.48 : 513,665.28 = 120,792.96 : x
  2. Step 2: Convert to fraction form
    342,564.48/513,665.28 = 120,792.96/x
  3. Step 3: Cross multiply
    342,564.48x = 513,665.28 × 120,792.96
  4. Step 4: Simplify right side
    342,564.48x = 62,047,149,620.43
  5. Step 5: Solve for x
    x = 62,047,149,620.43/342,564.48
  6. Step 6: Final answer
    x = 181,125.46

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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.