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Finding the Fourth Proportional to 165,077.40, 247,543.20 and 65,204.40

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Solution

The fourth proportional to 165,077.40, 247,543.20 and 65,204.40 is: 97,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,077.40 : 247,543.20 = 65,204.40 : x
  2. Step 2: Convert to fraction form
    165,077.40/247,543.20 = 65,204.40/x
  3. Step 3: Cross multiply
    165,077.40x = 247,543.20 × 65,204.40
  4. Step 4: Simplify right side
    165,077.40x = 16,140,905,830.08
  5. Step 5: Solve for x
    x = 16,140,905,830.08/165,077.40
  6. Step 6: Final answer
    x = 97,777.81

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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.