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Finding the Fourth Proportional to 229,191, 316,277.53 and 127,216.18

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Solution

The fourth proportional to 229,191, 316,277.53 and 127,216.18 is: 175,554.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,191 : 316,277.53 = 127,216.18 : x
  2. Step 2: Convert to fraction form
    229,191/316,277.53 = 127,216.18/x
  3. Step 3: Cross multiply
    229,191x = 316,277.53 × 127,216.18
  4. Step 4: Simplify right side
    229,191x = 40,235,619,186.44
  5. Step 5: Solve for x
    x = 40,235,619,186.44/229,191
  6. Step 6: Final answer
    x = 175,554.97

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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.