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Finding the Fourth Proportional to 357,194.81, 535,792.22 and 107,876.81

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Solution

The fourth proportional to 357,194.81, 535,792.22 and 107,876.81 is: 161,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,194.81 : 535,792.22 = 107,876.81 : x
  2. Step 2: Convert to fraction form
    357,194.81/535,792.22 = 107,876.81/x
  3. Step 3: Cross multiply
    357,194.81x = 535,792.22 × 107,876.81
  4. Step 4: Simplify right side
    357,194.81x = 57,799,556,721.05
  5. Step 5: Solve for x
    x = 57,799,556,721.05/357,194.81
  6. Step 6: Final answer
    x = 161,815.22

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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.