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Finding the Fourth Proportional to 563,380.50, 845,101.53 and 142,660.02

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Solution

The fourth proportional to 563,380.50, 845,101.53 and 142,660.02 is: 213,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,380.50 : 845,101.53 = 142,660.02 : x
  2. Step 2: Convert to fraction form
    563,380.50/845,101.53 = 142,660.02/x
  3. Step 3: Cross multiply
    563,380.50x = 845,101.53 × 142,660.02
  4. Step 4: Simplify right side
    563,380.50x = 120,562,201,171.83
  5. Step 5: Solve for x
    x = 120,562,201,171.83/563,380.50
  6. Step 6: Final answer
    x = 213,997.82

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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.