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Finding the Fourth Proportional to 152,293.70, 210,158.49 and 84,305.90

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Solution

The fourth proportional to 152,293.70, 210,158.49 and 84,305.90 is: 116,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,293.70 : 210,158.49 = 84,305.90 : x
  2. Step 2: Convert to fraction form
    152,293.70/210,158.49 = 84,305.90/x
  3. Step 3: Cross multiply
    152,293.70x = 210,158.49 × 84,305.90
  4. Step 4: Simplify right side
    152,293.70x = 17,717,599,591.30
  5. Step 5: Solve for x
    x = 17,717,599,591.30/152,293.70
  6. Step 6: Final answer
    x = 116,338.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.