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Finding the Fourth Proportional to 227,820.94, 314,379.88 and 136,043.79

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Solution

The fourth proportional to 227,820.94, 314,379.88 and 136,043.79 is: 187,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,820.94 : 314,379.88 = 136,043.79 : x
  2. Step 2: Convert to fraction form
    227,820.94/314,379.88 = 136,043.79/x
  3. Step 3: Cross multiply
    227,820.94x = 314,379.88 × 136,043.79
  4. Step 4: Simplify right side
    227,820.94x = 42,769,430,374.95
  5. Step 5: Solve for x
    x = 42,769,430,374.95/227,820.94
  6. Step 6: Final answer
    x = 187,732.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.