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Finding the Fourth Proportional to 145,248.56, 217,820.64 and 51,735.68

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Solution

The fourth proportional to 145,248.56, 217,820.64 and 51,735.68 is: 77,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,248.56 : 217,820.64 = 51,735.68 : x
  2. Step 2: Convert to fraction form
    145,248.56/217,820.64 = 51,735.68/x
  3. Step 3: Cross multiply
    145,248.56x = 217,820.64 × 51,735.68
  4. Step 4: Simplify right side
    145,248.56x = 11,269,098,928.44
  5. Step 5: Solve for x
    x = 11,269,098,928.44/145,248.56
  6. Step 6: Final answer
    x = 77,584.93

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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.