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Finding the Fourth Proportional to 227,642.79, 314,400.86 and 177,261.60

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Solution

The fourth proportional to 227,642.79, 314,400.86 and 177,261.60 is: 244,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,642.79 : 314,400.86 = 177,261.60 : x
  2. Step 2: Convert to fraction form
    227,642.79/314,400.86 = 177,261.60/x
  3. Step 3: Cross multiply
    227,642.79x = 314,400.86 × 177,261.60
  4. Step 4: Simplify right side
    227,642.79x = 55,731,199,484.98
  5. Step 5: Solve for x
    x = 55,731,199,484.98/227,642.79
  6. Step 6: Final answer
    x = 244,818.65

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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.