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Finding the Fourth Proportional to 209,813.44, 314,305.44 and 99,083.20

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Solution

The fourth proportional to 209,813.44, 314,305.44 and 99,083.20 is: 148,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,813.44 : 314,305.44 = 99,083.20 : x
  2. Step 2: Convert to fraction form
    209,813.44/314,305.44 = 99,083.20/x
  3. Step 3: Cross multiply
    209,813.44x = 314,305.44 × 99,083.20
  4. Step 4: Simplify right side
    209,813.44x = 31,142,388,772.61
  5. Step 5: Solve for x
    x = 31,142,388,772.61/209,813.44
  6. Step 6: Final answer
    x = 148,428.95

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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.