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Finding the Fourth Proportional to 97,257.76, 145,815.74 and 65,589.14

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Solution

The fourth proportional to 97,257.76, 145,815.74 and 65,589.14 is: 98,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,257.76 : 145,815.74 = 65,589.14 : x
  2. Step 2: Convert to fraction form
    97,257.76/145,815.74 = 65,589.14/x
  3. Step 3: Cross multiply
    97,257.76x = 145,815.74 × 65,589.14
  4. Step 4: Simplify right side
    97,257.76x = 9,563,929,636.56
  5. Step 5: Solve for x
    x = 9,563,929,636.56/97,257.76
  6. Step 6: Final answer
    x = 98,335.90

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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.