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Finding the Fourth Proportional to 357,202.59, 535,803.85 and 107,884.59

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Solution

The fourth proportional to 357,202.59, 535,803.85 and 107,884.59 is: 161,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,202.59 : 535,803.85 = 107,884.59 : x
  2. Step 2: Convert to fraction form
    357,202.59/535,803.85 = 107,884.59/x
  3. Step 3: Cross multiply
    357,202.59x = 535,803.85 × 107,884.59
  4. Step 4: Simplify right side
    357,202.59x = 57,804,978,677.67
  5. Step 5: Solve for x
    x = 57,804,978,677.67/357,202.59
  6. Step 6: Final answer
    x = 161,826.87

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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.