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Finding the Fourth Proportional to 149,681.61, 224,361.72 and 74,653.53

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Solution

The fourth proportional to 149,681.61, 224,361.72 and 74,653.53 is: 111,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,681.61 : 224,361.72 = 74,653.53 : x
  2. Step 2: Convert to fraction form
    149,681.61/224,361.72 = 74,653.53/x
  3. Step 3: Cross multiply
    149,681.61x = 224,361.72 × 74,653.53
  4. Step 4: Simplify right side
    149,681.61x = 16,749,394,394.87
  5. Step 5: Solve for x
    x = 16,749,394,394.87/149,681.61
  6. Step 6: Final answer
    x = 111,900.15

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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.