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Finding the Fourth Proportional to 121,349.65, 182,106.48 and 42,464.56

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Solution

The fourth proportional to 121,349.65, 182,106.48 and 42,464.56 is: 63,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,349.65 : 182,106.48 = 42,464.56 : x
  2. Step 2: Convert to fraction form
    121,349.65/182,106.48 = 42,464.56/x
  3. Step 3: Cross multiply
    121,349.65x = 182,106.48 × 42,464.56
  4. Step 4: Simplify right side
    121,349.65x = 7,733,071,546.35
  5. Step 5: Solve for x
    x = 7,733,071,546.35/121,349.65
  6. Step 6: Final answer
    x = 63,725.54

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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.