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Finding the Fourth Proportional to 209,952.14, 314,982.50 and 60,203.39

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Solution

The fourth proportional to 209,952.14, 314,982.50 and 60,203.39 is: 90,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.14 : 314,982.50 = 60,203.39 : x
  2. Step 2: Convert to fraction form
    209,952.14/314,982.50 = 60,203.39/x
  3. Step 3: Cross multiply
    209,952.14x = 314,982.50 × 60,203.39
  4. Step 4: Simplify right side
    209,952.14x = 18,963,013,343.98
  5. Step 5: Solve for x
    x = 18,963,013,343.98/209,952.14
  6. Step 6: Final answer
    x = 90,320.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.