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Finding the Fourth Proportional to 199,611, 299,419.74 and 57,458.16

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Solution

The fourth proportional to 199,611, 299,419.74 and 57,458.16 is: 86,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,611 : 299,419.74 = 57,458.16 : x
  2. Step 2: Convert to fraction form
    199,611/299,419.74 = 57,458.16/x
  3. Step 3: Cross multiply
    199,611x = 299,419.74 × 57,458.16
  4. Step 4: Simplify right side
    199,611x = 17,204,107,328.08
  5. Step 5: Solve for x
    x = 17,204,107,328.08/199,611
  6. Step 6: Final answer
    x = 86,188.17

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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.