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Finding the Fourth Proportional to 213,812.28, 320,718.65 and 98,395.63

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Solution

The fourth proportional to 213,812.28, 320,718.65 and 98,395.63 is: 147,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,812.28 : 320,718.65 = 98,395.63 : x
  2. Step 2: Convert to fraction form
    213,812.28/320,718.65 = 98,395.63/x
  3. Step 3: Cross multiply
    213,812.28x = 320,718.65 × 98,395.63
  4. Step 4: Simplify right side
    213,812.28x = 31,557,313,619.50
  5. Step 5: Solve for x
    x = 31,557,313,619.50/213,812.28
  6. Step 6: Final answer
    x = 147,593.55

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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.