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Finding the Fourth Proportional to 104,782.34, 157,078.74 and 38,206.90

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Solution

The fourth proportional to 104,782.34, 157,078.74 and 38,206.90 is: 57,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,782.34 : 157,078.74 = 38,206.90 : x
  2. Step 2: Convert to fraction form
    104,782.34/157,078.74 = 38,206.90/x
  3. Step 3: Cross multiply
    104,782.34x = 157,078.74 × 38,206.90
  4. Step 4: Simplify right side
    104,782.34x = 6,001,491,711.31
  5. Step 5: Solve for x
    x = 6,001,491,711.31/104,782.34
  6. Step 6: Final answer
    x = 57,275.79

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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.