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Finding the Fourth Proportional to 138,771.98, 191,505.54 and 75,109.76

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Solution

The fourth proportional to 138,771.98, 191,505.54 and 75,109.76 is: 103,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,771.98 : 191,505.54 = 75,109.76 : x
  2. Step 2: Convert to fraction form
    138,771.98/191,505.54 = 75,109.76/x
  3. Step 3: Cross multiply
    138,771.98x = 191,505.54 × 75,109.76
  4. Step 4: Simplify right side
    138,771.98x = 14,383,935,148.07
  5. Step 5: Solve for x
    x = 14,383,935,148.07/138,771.98
  6. Step 6: Final answer
    x = 103,651.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.