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Finding the Fourth Proportional to 165,849.55, 248,772.03 and 99,308.05

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Solution

The fourth proportional to 165,849.55, 248,772.03 and 99,308.05 is: 148,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,849.55 : 248,772.03 = 99,308.05 : x
  2. Step 2: Convert to fraction form
    165,849.55/248,772.03 = 99,308.05/x
  3. Step 3: Cross multiply
    165,849.55x = 248,772.03 × 99,308.05
  4. Step 4: Simplify right side
    165,849.55x = 24,705,065,193.84
  5. Step 5: Solve for x
    x = 24,705,065,193.84/165,849.55
  6. Step 6: Final answer
    x = 148,960.70

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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.