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Finding the Fourth Proportional to 149,361.84, 224,075.57 and 82,898.91

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Solution

The fourth proportional to 149,361.84, 224,075.57 and 82,898.91 is: 124,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,361.84 : 224,075.57 = 82,898.91 : x
  2. Step 2: Convert to fraction form
    149,361.84/224,075.57 = 82,898.91/x
  3. Step 3: Cross multiply
    149,361.84x = 224,075.57 × 82,898.91
  4. Step 4: Simplify right side
    149,361.84x = 18,575,620,096.13
  5. Step 5: Solve for x
    x = 18,575,620,096.13/149,361.84
  6. Step 6: Final answer
    x = 124,366.57

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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.