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Finding the Fourth Proportional to 199,409.05, 299,113.54 and 59,167.68

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Solution

The fourth proportional to 199,409.05, 299,113.54 and 59,167.68 is: 88,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,409.05 : 299,113.54 = 59,167.68 : x
  2. Step 2: Convert to fraction form
    199,409.05/299,113.54 = 59,167.68/x
  3. Step 3: Cross multiply
    199,409.05x = 299,113.54 × 59,167.68
  4. Step 4: Simplify right side
    199,409.05x = 17,697,854,218.39
  5. Step 5: Solve for x
    x = 17,697,854,218.39/199,409.05
  6. Step 6: Final answer
    x = 88,751.51

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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.