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Finding the Fourth Proportional to 227,780.50, 314,356.54 and 127,197.94

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Solution

The fourth proportional to 227,780.50, 314,356.54 and 127,197.94 is: 175,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,780.50 : 314,356.54 = 127,197.94 : x
  2. Step 2: Convert to fraction form
    227,780.50/314,356.54 = 127,197.94/x
  3. Step 3: Cross multiply
    227,780.50x = 314,356.54 × 127,197.94
  4. Step 4: Simplify right side
    227,780.50x = 39,985,504,313.53
  5. Step 5: Solve for x
    x = 39,985,504,313.53/227,780.50
  6. Step 6: Final answer
    x = 175,544.02

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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.