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Finding the Fourth Proportional to 274,509.72, 411,882.93 and 106,148.58

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Solution

The fourth proportional to 274,509.72, 411,882.93 and 106,148.58 is: 159,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,509.72 : 411,882.93 = 106,148.58 : x
  2. Step 2: Convert to fraction form
    274,509.72/411,882.93 = 106,148.58/x
  3. Step 3: Cross multiply
    274,509.72x = 411,882.93 × 106,148.58
  4. Step 4: Simplify right side
    274,509.72x = 43,720,788,145.74
  5. Step 5: Solve for x
    x = 43,720,788,145.74/274,509.72
  6. Step 6: Final answer
    x = 159,268.63

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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.