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Finding the Fourth Proportional to 135,037.24, 186,351.40 and 75,421.24

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Solution

The fourth proportional to 135,037.24, 186,351.40 and 75,421.24 is: 104,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,037.24 : 186,351.40 = 75,421.24 : x
  2. Step 2: Convert to fraction form
    135,037.24/186,351.40 = 75,421.24/x
  3. Step 3: Cross multiply
    135,037.24x = 186,351.40 × 75,421.24
  4. Step 4: Simplify right side
    135,037.24x = 14,054,853,663.74
  5. Step 5: Solve for x
    x = 14,054,853,663.74/135,037.24
  6. Step 6: Final answer
    x = 104,081.32

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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.