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Finding the Fourth Proportional to 114,425.12, 157,912.05 and 71,430.06

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Solution

The fourth proportional to 114,425.12, 157,912.05 and 71,430.06 is: 98,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,425.12 : 157,912.05 = 71,430.06 : x
  2. Step 2: Convert to fraction form
    114,425.12/157,912.05 = 71,430.06/x
  3. Step 3: Cross multiply
    114,425.12x = 157,912.05 × 71,430.06
  4. Step 4: Simplify right side
    114,425.12x = 11,279,667,206.22
  5. Step 5: Solve for x
    x = 11,279,667,206.22/114,425.12
  6. Step 6: Final answer
    x = 98,576.85

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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.