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Finding the Fourth Proportional to 78,002.60, 117,003.90 and 65,042.60

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Solution

The fourth proportional to 78,002.60, 117,003.90 and 65,042.60 is: 97,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.60 : 117,003.90 = 65,042.60 : x
  2. Step 2: Convert to fraction form
    78,002.60/117,003.90 = 65,042.60/x
  3. Step 3: Cross multiply
    78,002.60x = 117,003.90 × 65,042.60
  4. Step 4: Simplify right side
    78,002.60x = 7,610,237,866.14
  5. Step 5: Solve for x
    x = 7,610,237,866.14/78,002.60
  6. Step 6: Final answer
    x = 97,563.90

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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.