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Finding the Fourth Proportional to 227,656.95, 314,207.71 and 135,782.12

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Solution

The fourth proportional to 227,656.95, 314,207.71 and 135,782.12 is: 187,403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,656.95 : 314,207.71 = 135,782.12 : x
  2. Step 2: Convert to fraction form
    227,656.95/314,207.71 = 135,782.12/x
  3. Step 3: Cross multiply
    227,656.95x = 314,207.71 × 135,782.12
  4. Step 4: Simplify right side
    227,656.95x = 42,663,790,193.98
  5. Step 5: Solve for x
    x = 42,663,790,193.98/227,656.95
  6. Step 6: Final answer
    x = 187,403.86

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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.