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Finding the Fourth Proportional to 110,542.60, 165,461.10 and 87,214.60

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Solution

The fourth proportional to 110,542.60, 165,461.10 and 87,214.60 is: 130,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,542.60 : 165,461.10 = 87,214.60 : x
  2. Step 2: Convert to fraction form
    110,542.60/165,461.10 = 87,214.60/x
  3. Step 3: Cross multiply
    110,542.60x = 165,461.10 × 87,214.60
  4. Step 4: Simplify right side
    110,542.60x = 14,430,623,652.06
  5. Step 5: Solve for x
    x = 14,430,623,652.06/110,542.60
  6. Step 6: Final answer
    x = 130,543.55

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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.