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Finding the Fourth Proportional to 207,853.47, 286,816.37 and 153,434.61

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Solution

The fourth proportional to 207,853.47, 286,816.37 and 153,434.61 is: 211,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,853.47 : 286,816.37 = 153,434.61 : x
  2. Step 2: Convert to fraction form
    207,853.47/286,816.37 = 153,434.61/x
  3. Step 3: Cross multiply
    207,853.47x = 286,816.37 × 153,434.61
  4. Step 4: Simplify right side
    207,853.47x = 44,007,557,105.39
  5. Step 5: Solve for x
    x = 44,007,557,105.39/207,853.47
  6. Step 6: Final answer
    x = 211,723.95

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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.