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Finding the Fourth Proportional to 199,406.54, 299,109.80 and 59,165.17

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Solution

The fourth proportional to 199,406.54, 299,109.80 and 59,165.17 is: 88,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,406.54 : 299,109.80 = 59,165.17 : x
  2. Step 2: Convert to fraction form
    199,406.54/299,109.80 = 59,165.17/x
  3. Step 3: Cross multiply
    199,406.54x = 299,109.80 × 59,165.17
  4. Step 4: Simplify right side
    199,406.54x = 17,696,881,565.80
  5. Step 5: Solve for x
    x = 17,696,881,565.80/199,406.54
  6. Step 6: Final answer
    x = 88,747.75

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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.