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Finding the Fourth Proportional to 216,853.84, 299,251.86 and 120,062

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Solution

The fourth proportional to 216,853.84, 299,251.86 and 120,062 is: 165,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,853.84 : 299,251.86 = 120,062 : x
  2. Step 2: Convert to fraction form
    216,853.84/299,251.86 = 120,062/x
  3. Step 3: Cross multiply
    216,853.84x = 299,251.86 × 120,062
  4. Step 4: Simplify right side
    216,853.84x = 35,928,776,815.32
  5. Step 5: Solve for x
    x = 35,928,776,815.32/216,853.84
  6. Step 6: Final answer
    x = 165,681.99

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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.