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Finding the Fourth Proportional to 149,818.64, 224,728.79 and 49,978.58

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Solution

The fourth proportional to 149,818.64, 224,728.79 and 49,978.58 is: 74,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,818.64 : 224,728.79 = 49,978.58 : x
  2. Step 2: Convert to fraction form
    149,818.64/224,728.79 = 49,978.58/x
  3. Step 3: Cross multiply
    149,818.64x = 224,728.79 × 49,978.58
  4. Step 4: Simplify right side
    149,818.64x = 11,231,624,435.78
  5. Step 5: Solve for x
    x = 11,231,624,435.78/149,818.64
  6. Step 6: Final answer
    x = 74,968.14

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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.