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Finding the Fourth Proportional to 199,447.48, 299,083.50 and 74,701

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Solution

The fourth proportional to 199,447.48, 299,083.50 and 74,701 is: 112,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,447.48 : 299,083.50 = 74,701 : x
  2. Step 2: Convert to fraction form
    199,447.48/299,083.50 = 74,701/x
  3. Step 3: Cross multiply
    199,447.48x = 299,083.50 × 74,701
  4. Step 4: Simplify right side
    199,447.48x = 22,341,836,533.50
  5. Step 5: Solve for x
    x = 22,341,836,533.50/199,447.48
  6. Step 6: Final answer
    x = 112,018.65

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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.