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Finding the Fourth Proportional to 227,740.66, 314,365.98 and 137,100.84

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Solution

The fourth proportional to 227,740.66, 314,365.98 and 137,100.84 is: 189,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,740.66 : 314,365.98 = 137,100.84 : x
  2. Step 2: Convert to fraction form
    227,740.66/314,365.98 = 137,100.84/x
  3. Step 3: Cross multiply
    227,740.66x = 314,365.98 × 137,100.84
  4. Step 4: Simplify right side
    227,740.66x = 43,099,839,925.42
  5. Step 5: Solve for x
    x = 43,099,839,925.42/227,740.66
  6. Step 6: Final answer
    x = 189,249.65

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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.