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Finding the Fourth Proportional to 100,002.60, 149,615.10 and 65,010.60

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Solution

The fourth proportional to 100,002.60, 149,615.10 and 65,010.60 is: 97,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,002.60 : 149,615.10 = 65,010.60 : x
  2. Step 2: Convert to fraction form
    100,002.60/149,615.10 = 65,010.60/x
  3. Step 3: Cross multiply
    100,002.60x = 149,615.10 × 65,010.60
  4. Step 4: Simplify right side
    100,002.60x = 9,726,567,420.06
  5. Step 5: Solve for x
    x = 9,726,567,420.06/100,002.60
  6. Step 6: Final answer
    x = 97,263.15

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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.