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Finding the Fourth Proportional to 242,854.66, 364,324.11 and 74,371.02

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Solution

The fourth proportional to 242,854.66, 364,324.11 and 74,371.02 is: 111,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,854.66 : 364,324.11 = 74,371.02 : x
  2. Step 2: Convert to fraction form
    242,854.66/364,324.11 = 74,371.02/x
  3. Step 3: Cross multiply
    242,854.66x = 364,324.11 × 74,371.02
  4. Step 4: Simplify right side
    242,854.66x = 27,095,155,671.29
  5. Step 5: Solve for x
    x = 27,095,155,671.29/242,854.66
  6. Step 6: Final answer
    x = 111,569.43

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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.