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Finding the Fourth Proportional to 200,016.84, 299,908.62 and 59,737.80

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Solution

The fourth proportional to 200,016.84, 299,908.62 and 59,737.80 is: 89,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,016.84 : 299,908.62 = 59,737.80 : x
  2. Step 2: Convert to fraction form
    200,016.84/299,908.62 = 59,737.80/x
  3. Step 3: Cross multiply
    200,016.84x = 299,908.62 × 59,737.80
  4. Step 4: Simplify right side
    200,016.84x = 17,915,881,159.84
  5. Step 5: Solve for x
    x = 17,915,881,159.84/200,016.84
  6. Step 6: Final answer
    x = 89,571.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.