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Finding the Fourth Proportional to 357,204.59, 535,806.85 and 107,886.59

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Solution

The fourth proportional to 357,204.59, 535,806.85 and 107,886.59 is: 161,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,204.59 : 535,806.85 = 107,886.59 : x
  2. Step 2: Convert to fraction form
    357,204.59/535,806.85 = 107,886.59/x
  3. Step 3: Cross multiply
    357,204.59x = 535,806.85 × 107,886.59
  4. Step 4: Simplify right side
    357,204.59x = 57,806,373,945.14
  5. Step 5: Solve for x
    x = 57,806,373,945.14/357,204.59
  6. Step 6: Final answer
    x = 161,829.87

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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.