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Finding the Fourth Proportional to 242,733.58, 334,965.37 and 135,301.31

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Solution

The fourth proportional to 242,733.58, 334,965.37 and 135,301.31 is: 186,711.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,733.58 : 334,965.37 = 135,301.31 : x
  2. Step 2: Convert to fraction form
    242,733.58/334,965.37 = 135,301.31/x
  3. Step 3: Cross multiply
    242,733.58x = 334,965.37 × 135,301.31
  4. Step 4: Simplify right side
    242,733.58x = 45,321,251,690.81
  5. Step 5: Solve for x
    x = 45,321,251,690.81/242,733.58
  6. Step 6: Final answer
    x = 186,711.92

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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.