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Finding the Fourth Proportional to 152,007.40, 209,769.78 and 84,939.40

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Solution

The fourth proportional to 152,007.40, 209,769.78 and 84,939.40 is: 117,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,007.40 : 209,769.78 = 84,939.40 : x
  2. Step 2: Convert to fraction form
    152,007.40/209,769.78 = 84,939.40/x
  3. Step 3: Cross multiply
    152,007.40x = 209,769.78 × 84,939.40
  4. Step 4: Simplify right side
    152,007.40x = 17,817,719,251.33
  5. Step 5: Solve for x
    x = 17,817,719,251.33/152,007.40
  6. Step 6: Final answer
    x = 117,216.13

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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.