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Finding the Fourth Proportional to 189,123.34, 283,749.81 and 64,551.82

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Solution

The fourth proportional to 189,123.34, 283,749.81 and 64,551.82 is: 96,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,123.34 : 283,749.81 = 64,551.82 : x
  2. Step 2: Convert to fraction form
    189,123.34/283,749.81 = 64,551.82/x
  3. Step 3: Cross multiply
    189,123.34x = 283,749.81 × 64,551.82
  4. Step 4: Simplify right side
    189,123.34x = 18,316,566,660.15
  5. Step 5: Solve for x
    x = 18,316,566,660.15/189,123.34
  6. Step 6: Final answer
    x = 96,849.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.