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Finding the Fourth Proportional to 130,422.40, 195,710.40 and 47,305.60

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Solution

The fourth proportional to 130,422.40, 195,710.40 and 47,305.60 is: 70,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,422.40 : 195,710.40 = 47,305.60 : x
  2. Step 2: Convert to fraction form
    130,422.40/195,710.40 = 47,305.60/x
  3. Step 3: Cross multiply
    130,422.40x = 195,710.40 × 47,305.60
  4. Step 4: Simplify right side
    130,422.40x = 9,258,197,898.24
  5. Step 5: Solve for x
    x = 9,258,197,898.24/130,422.40
  6. Step 6: Final answer
    x = 70,986.26

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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.