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Finding the Fourth Proportional to 146,691.84, 202,435.41 and 83,041.95

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Solution

The fourth proportional to 146,691.84, 202,435.41 and 83,041.95 is: 114,598.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,691.84 : 202,435.41 = 83,041.95 : x
  2. Step 2: Convert to fraction form
    146,691.84/202,435.41 = 83,041.95/x
  3. Step 3: Cross multiply
    146,691.84x = 202,435.41 × 83,041.95
  4. Step 4: Simplify right side
    146,691.84x = 16,810,631,195.45
  5. Step 5: Solve for x
    x = 16,810,631,195.45/146,691.84
  6. Step 6: Final answer
    x = 114,598.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.