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Finding the Fourth Proportional to 107,322.84, 160,984.25 and 37,202.14

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Solution

The fourth proportional to 107,322.84, 160,984.25 and 37,202.14 is: 55,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,322.84 : 160,984.25 = 37,202.14 : x
  2. Step 2: Convert to fraction form
    107,322.84/160,984.25 = 37,202.14/x
  3. Step 3: Cross multiply
    107,322.84x = 160,984.25 × 37,202.14
  4. Step 4: Simplify right side
    107,322.84x = 5,988,958,606.30
  5. Step 5: Solve for x
    x = 5,988,958,606.30/107,322.84
  6. Step 6: Final answer
    x = 55,803.21

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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.