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Finding the Fourth Proportional to 113,509.36, 156,629.20 and 65,108.78

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Solution

The fourth proportional to 113,509.36, 156,629.20 and 65,108.78 is: 89,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,509.36 : 156,629.20 = 65,108.78 : x
  2. Step 2: Convert to fraction form
    113,509.36/156,629.20 = 65,108.78/x
  3. Step 3: Cross multiply
    113,509.36x = 156,629.20 × 65,108.78
  4. Step 4: Simplify right side
    113,509.36x = 10,197,936,124.38
  5. Step 5: Solve for x
    x = 10,197,936,124.38/113,509.36
  6. Step 6: Final answer
    x = 89,842.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.