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Finding the Fourth Proportional to 202,858.98, 304,166.96 and 96,269.46

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Solution

The fourth proportional to 202,858.98, 304,166.96 and 96,269.46 is: 144,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,858.98 : 304,166.96 = 96,269.46 : x
  2. Step 2: Convert to fraction form
    202,858.98/304,166.96 = 96,269.46/x
  3. Step 3: Cross multiply
    202,858.98x = 304,166.96 × 96,269.46
  4. Step 4: Simplify right side
    202,858.98x = 29,281,988,989.04
  5. Step 5: Solve for x
    x = 29,281,988,989.04/202,858.98
  6. Step 6: Final answer
    x = 144,346.53

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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.