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Finding the Fourth Proportional to 289,049.84, 433,564.35 and 75,816.05

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Solution

The fourth proportional to 289,049.84, 433,564.35 and 75,816.05 is: 113,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,049.84 : 433,564.35 = 75,816.05 : x
  2. Step 2: Convert to fraction form
    289,049.84/433,564.35 = 75,816.05/x
  3. Step 3: Cross multiply
    289,049.84x = 433,564.35 × 75,816.05
  4. Step 4: Simplify right side
    289,049.84x = 32,871,136,424.49
  5. Step 5: Solve for x
    x = 32,871,136,424.49/289,049.84
  6. Step 6: Final answer
    x = 113,721.34

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