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Finding the Fourth Proportional to 130,228.40, 195,342.60 and 47,111.60

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Solution

The fourth proportional to 130,228.40, 195,342.60 and 47,111.60 is: 70,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,228.40 : 195,342.60 = 47,111.60 : x
  2. Step 2: Convert to fraction form
    130,228.40/195,342.60 = 47,111.60/x
  3. Step 3: Cross multiply
    130,228.40x = 195,342.60 × 47,111.60
  4. Step 4: Simplify right side
    130,228.40x = 9,202,902,434.16
  5. Step 5: Solve for x
    x = 9,202,902,434.16/130,228.40
  6. Step 6: Final answer
    x = 70,667.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.