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Finding the Fourth Proportional to 102,219.39, 153,273.47 and 35,641.71

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Solution

The fourth proportional to 102,219.39, 153,273.47 and 35,641.71 is: 53,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,219.39 : 153,273.47 = 35,641.71 : x
  2. Step 2: Convert to fraction form
    102,219.39/153,273.47 = 35,641.71/x
  3. Step 3: Cross multiply
    102,219.39x = 153,273.47 × 35,641.71
  4. Step 4: Simplify right side
    102,219.39x = 5,462,928,390.23
  5. Step 5: Solve for x
    x = 5,462,928,390.23/102,219.39
  6. Step 6: Final answer
    x = 53,443.17

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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.