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Finding the Fourth Proportional to 111,378.12, 153,701.58 and 61,077

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Solution

The fourth proportional to 111,378.12, 153,701.58 and 61,077 is: 84,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,378.12 : 153,701.58 = 61,077 : x
  2. Step 2: Convert to fraction form
    111,378.12/153,701.58 = 61,077/x
  3. Step 3: Cross multiply
    111,378.12x = 153,701.58 × 61,077
  4. Step 4: Simplify right side
    111,378.12x = 9,387,631,401.66
  5. Step 5: Solve for x
    x = 9,387,631,401.66/111,378.12
  6. Step 6: Final answer
    x = 84,286.14

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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.