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Finding the Fourth Proportional to 138,814.96, 191,564.38 and 75,152.74

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Solution

The fourth proportional to 138,814.96, 191,564.38 and 75,152.74 is: 103,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,814.96 : 191,564.38 = 75,152.74 : x
  2. Step 2: Convert to fraction form
    138,814.96/191,564.38 = 75,152.74/x
  3. Step 3: Cross multiply
    138,814.96x = 191,564.38 × 75,152.74
  4. Step 4: Simplify right side
    138,814.96x = 14,396,588,043.40
  5. Step 5: Solve for x
    x = 14,396,588,043.40/138,814.96
  6. Step 6: Final answer
    x = 103,710.64

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