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Finding the Fourth Proportional to 105,115.36, 145,013.69 and 64,281.27

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Solution

The fourth proportional to 105,115.36, 145,013.69 and 64,281.27 is: 88,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,115.36 : 145,013.69 = 64,281.27 : x
  2. Step 2: Convert to fraction form
    105,115.36/145,013.69 = 64,281.27/x
  3. Step 3: Cross multiply
    105,115.36x = 145,013.69 × 64,281.27
  4. Step 4: Simplify right side
    105,115.36x = 9,321,663,295.38
  5. Step 5: Solve for x
    x = 9,321,663,295.38/105,115.36
  6. Step 6: Final answer
    x = 88,680.32

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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.