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Finding the Fourth Proportional to 199,505, 299,257.14 and 116,340.68

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Solution

The fourth proportional to 199,505, 299,257.14 and 116,340.68 is: 174,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,505 : 299,257.14 = 116,340.68 : x
  2. Step 2: Convert to fraction form
    199,505/299,257.14 = 116,340.68/x
  3. Step 3: Cross multiply
    199,505x = 299,257.14 × 116,340.68
  4. Step 4: Simplify right side
    199,505x = 34,815,779,162.46
  5. Step 5: Solve for x
    x = 34,815,779,162.46/199,505
  6. Step 6: Final answer
    x = 174,510.81

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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.