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Finding the Fourth Proportional to 227,946.40, 314,527.12 and 127,338.40

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Solution

The fourth proportional to 227,946.40, 314,527.12 and 127,338.40 is: 175,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,946.40 : 314,527.12 = 127,338.40 : x
  2. Step 2: Convert to fraction form
    227,946.40/314,527.12 = 127,338.40/x
  3. Step 3: Cross multiply
    227,946.40x = 314,527.12 × 127,338.40
  4. Step 4: Simplify right side
    227,946.40x = 40,051,380,217.41
  5. Step 5: Solve for x
    x = 40,051,380,217.41/227,946.40
  6. Step 6: Final answer
    x = 175,705.25

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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.