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Finding the Fourth Proportional to 100,895.62, 151,264.94 and 65,281.68

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Solution

The fourth proportional to 100,895.62, 151,264.94 and 65,281.68 is: 97,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,895.62 : 151,264.94 = 65,281.68 : x
  2. Step 2: Convert to fraction form
    100,895.62/151,264.94 = 65,281.68/x
  3. Step 3: Cross multiply
    100,895.62x = 151,264.94 × 65,281.68
  4. Step 4: Simplify right side
    100,895.62x = 9,874,829,408.30
  5. Step 5: Solve for x
    x = 9,874,829,408.30/100,895.62
  6. Step 6: Final answer
    x = 97,871.74

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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.