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Finding the Fourth Proportional to 145,046.70, 217,438.83 and 51,530.58

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Solution

The fourth proportional to 145,046.70, 217,438.83 and 51,530.58 is: 77,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,046.70 : 217,438.83 = 51,530.58 : x
  2. Step 2: Convert to fraction form
    145,046.70/217,438.83 = 51,530.58/x
  3. Step 3: Cross multiply
    145,046.70x = 217,438.83 × 51,530.58
  4. Step 4: Simplify right side
    145,046.70x = 11,204,749,024.42
  5. Step 5: Solve for x
    x = 11,204,749,024.42/145,046.70
  6. Step 6: Final answer
    x = 77,249.25

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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.