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Finding the Fourth Proportional to 99,696.84, 149,544.18 and 57,640.20

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Solution

The fourth proportional to 99,696.84, 149,544.18 and 57,640.20 is: 86,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,696.84 : 149,544.18 = 57,640.20 : x
  2. Step 2: Convert to fraction form
    99,696.84/149,544.18 = 57,640.20/x
  3. Step 3: Cross multiply
    99,696.84x = 149,544.18 × 57,640.20
  4. Step 4: Simplify right side
    99,696.84x = 8,619,756,444.04
  5. Step 5: Solve for x
    x = 8,619,756,444.04/99,696.84
  6. Step 6: Final answer
    x = 86,459.68

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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.