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Finding the Fourth Proportional to 165,599.31, 248,228.56 and 65,830.19

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Solution

The fourth proportional to 165,599.31, 248,228.56 and 65,830.19 is: 98,677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,599.31 : 248,228.56 = 65,830.19 : x
  2. Step 2: Convert to fraction form
    165,599.31/248,228.56 = 65,830.19/x
  3. Step 3: Cross multiply
    165,599.31x = 248,228.56 × 65,830.19
  4. Step 4: Simplify right side
    165,599.31x = 16,340,934,296.37
  5. Step 5: Solve for x
    x = 16,340,934,296.37/165,599.31
  6. Step 6: Final answer
    x = 98,677.55

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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.