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Finding the Fourth Proportional to 149,807.48, 224,695.62 and 49,956.75

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Solution

The fourth proportional to 149,807.48, 224,695.62 and 49,956.75 is: 74,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,807.48 : 224,695.62 = 49,956.75 : x
  2. Step 2: Convert to fraction form
    149,807.48/224,695.62 = 49,956.75/x
  3. Step 3: Cross multiply
    149,807.48x = 224,695.62 × 49,956.75
  4. Step 4: Simplify right side
    149,807.48x = 11,225,062,914.44
  5. Step 5: Solve for x
    x = 11,225,062,914.44/149,807.48
  6. Step 6: Final answer
    x = 74,929.93

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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.