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Finding the Fourth Proportional to 115,340.10, 159,169.06 and 65,038.74

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Solution

The fourth proportional to 115,340.10, 159,169.06 and 65,038.74 is: 89,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,340.10 : 159,169.06 = 65,038.74 : x
  2. Step 2: Convert to fraction form
    115,340.10/159,169.06 = 65,038.74/x
  3. Step 3: Cross multiply
    115,340.10x = 159,169.06 × 65,038.74
  4. Step 4: Simplify right side
    115,340.10x = 10,352,155,109.38
  5. Step 5: Solve for x
    x = 10,352,155,109.38/115,340.10
  6. Step 6: Final answer
    x = 89,753.30

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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.