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Finding the Fourth Proportional to 135,807.32, 187,412.69 and 75,378.49

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Solution

The fourth proportional to 135,807.32, 187,412.69 and 75,378.49 is: 104,021.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,807.32 : 187,412.69 = 75,378.49 : x
  2. Step 2: Convert to fraction form
    135,807.32/187,412.69 = 75,378.49/x
  3. Step 3: Cross multiply
    135,807.32x = 187,412.69 × 75,378.49
  4. Step 4: Simplify right side
    135,807.32x = 14,126,885,579.04
  5. Step 5: Solve for x
    x = 14,126,885,579.04/135,807.32
  6. Step 6: Final answer
    x = 104,021.53

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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.