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Finding the Fourth Proportional to 102,965.84, 154,157.52 and 65,432.88

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Solution

The fourth proportional to 102,965.84, 154,157.52 and 65,432.88 is: 97,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,965.84 : 154,157.52 = 65,432.88 : x
  2. Step 2: Convert to fraction form
    102,965.84/154,157.52 = 65,432.88/x
  3. Step 3: Cross multiply
    102,965.84x = 154,157.52 × 65,432.88
  4. Step 4: Simplify right side
    102,965.84x = 10,086,970,507.26
  5. Step 5: Solve for x
    x = 10,086,970,507.26/102,965.84
  6. Step 6: Final answer
    x = 97,964.24

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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.