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Finding the Fourth Proportional to 99,743.40, 149,396.40 and 86,621.40

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Solution

The fourth proportional to 99,743.40, 149,396.40 and 86,621.40 is: 129,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,743.40 : 149,396.40 = 86,621.40 : x
  2. Step 2: Convert to fraction form
    99,743.40/149,396.40 = 86,621.40/x
  3. Step 3: Cross multiply
    99,743.40x = 149,396.40 × 86,621.40
  4. Step 4: Simplify right side
    99,743.40x = 12,940,925,322.96
  5. Step 5: Solve for x
    x = 12,940,925,322.96/99,743.40
  6. Step 6: Final answer
    x = 129,742.17

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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.