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Finding the Fourth Proportional to 101,348.32, 152,052.96 and 71,823.04

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Solution

The fourth proportional to 101,348.32, 152,052.96 and 71,823.04 is: 107,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,348.32 : 152,052.96 = 71,823.04 : x
  2. Step 2: Convert to fraction form
    101,348.32/152,052.96 = 71,823.04/x
  3. Step 3: Cross multiply
    101,348.32x = 152,052.96 × 71,823.04
  4. Step 4: Simplify right side
    101,348.32x = 10,920,905,828.20
  5. Step 5: Solve for x
    x = 10,920,905,828.20/101,348.32
  6. Step 6: Final answer
    x = 107,756.16

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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.