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Finding the Fourth Proportional to 131,794.81, 197,502.90 and 74,913.91

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Solution

The fourth proportional to 131,794.81, 197,502.90 and 74,913.91 is: 112,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,794.81 : 197,502.90 = 74,913.91 : x
  2. Step 2: Convert to fraction form
    131,794.81/197,502.90 = 74,913.91/x
  3. Step 3: Cross multiply
    131,794.81x = 197,502.90 × 74,913.91
  4. Step 4: Simplify right side
    131,794.81x = 14,795,713,700.65
  5. Step 5: Solve for x
    x = 14,795,713,700.65/131,794.81
  6. Step 6: Final answer
    x = 112,263.25

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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.