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Finding the Fourth Proportional to 102,027.20, 153,040.80 and 70,534.40

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Solution

The fourth proportional to 102,027.20, 153,040.80 and 70,534.40 is: 105,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,027.20 : 153,040.80 = 70,534.40 : x
  2. Step 2: Convert to fraction form
    102,027.20/153,040.80 = 70,534.40/x
  3. Step 3: Cross multiply
    102,027.20x = 153,040.80 × 70,534.40
  4. Step 4: Simplify right side
    102,027.20x = 10,794,641,003.52
  5. Step 5: Solve for x
    x = 10,794,641,003.52/102,027.20
  6. Step 6: Final answer
    x = 105,801.60

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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.