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Finding the Fourth Proportional to 357,202.31, 535,803.48 and 107,884.31

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Solution

The fourth proportional to 357,202.31, 535,803.48 and 107,884.31 is: 161,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,202.31 : 535,803.48 = 107,884.31 : x
  2. Step 2: Convert to fraction form
    357,202.31/535,803.48 = 107,884.31/x
  3. Step 3: Cross multiply
    357,202.31x = 535,803.48 × 107,884.31
  4. Step 4: Simplify right side
    357,202.31x = 57,804,788,735.40
  5. Step 5: Solve for x
    x = 57,804,788,735.40/357,202.31
  6. Step 6: Final answer
    x = 161,826.47

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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.