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Finding the Fourth Proportional to 227,732.79, 314,312.63 and 135,858.14

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Solution

The fourth proportional to 227,732.79, 314,312.63 and 135,858.14 is: 187,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,732.79 : 314,312.63 = 135,858.14 : x
  2. Step 2: Convert to fraction form
    227,732.79/314,312.63 = 135,858.14/x
  3. Step 3: Cross multiply
    227,732.79x = 314,312.63 × 135,858.14
  4. Step 4: Simplify right side
    227,732.79x = 42,701,929,290.31
  5. Step 5: Solve for x
    x = 42,701,929,290.31/227,732.79
  6. Step 6: Final answer
    x = 187,508.92

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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.