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Finding the Fourth Proportional to 105,115.34, 145,013.67 and 64,281.26

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Solution

The fourth proportional to 105,115.34, 145,013.67 and 64,281.26 is: 88,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,115.34 : 145,013.67 = 64,281.26 : x
  2. Step 2: Convert to fraction form
    105,115.34/145,013.67 = 64,281.26/x
  3. Step 3: Cross multiply
    105,115.34x = 145,013.67 × 64,281.26
  4. Step 4: Simplify right side
    105,115.34x = 9,321,661,787.36
  5. Step 5: Solve for x
    x = 9,321,661,787.36/105,115.34
  6. Step 6: Final answer
    x = 88,680.32

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