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Finding the Fourth Proportional to 189,132.34, 283,763.31 and 64,560.82

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Solution

The fourth proportional to 189,132.34, 283,763.31 and 64,560.82 is: 96,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,132.34 : 283,763.31 = 64,560.82 : x
  2. Step 2: Convert to fraction form
    189,132.34/283,763.31 = 64,560.82/x
  3. Step 3: Cross multiply
    189,132.34x = 283,763.31 × 64,560.82
  4. Step 4: Simplify right side
    189,132.34x = 18,319,991,979.51
  5. Step 5: Solve for x
    x = 18,319,991,979.51/189,132.34
  6. Step 6: Final answer
    x = 96,863.35

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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.