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Finding the Fourth Proportional to 133,219.65, 199,803.54 and 38,443.17

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Solution

The fourth proportional to 133,219.65, 199,803.54 and 38,443.17 is: 57,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,219.65 : 199,803.54 = 38,443.17 : x
  2. Step 2: Convert to fraction form
    133,219.65/199,803.54 = 38,443.17/x
  3. Step 3: Cross multiply
    133,219.65x = 199,803.54 × 38,443.17
  4. Step 4: Simplify right side
    133,219.65x = 7,681,081,454.82
  5. Step 5: Solve for x
    x = 7,681,081,454.82/133,219.65
  6. Step 6: Final answer
    x = 57,657.27

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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.