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Finding the Fourth Proportional to 142,104.60, 213,118.02 and 53,351.28

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Solution

The fourth proportional to 142,104.60, 213,118.02 and 53,351.28 is: 80,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,104.60 : 213,118.02 = 53,351.28 : x
  2. Step 2: Convert to fraction form
    142,104.60/213,118.02 = 53,351.28/x
  3. Step 3: Cross multiply
    142,104.60x = 213,118.02 × 53,351.28
  4. Step 4: Simplify right side
    142,104.60x = 11,370,119,158.07
  5. Step 5: Solve for x
    x = 11,370,119,158.07/142,104.60
  6. Step 6: Final answer
    x = 80,012.32

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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.