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Finding the Fourth Proportional to 109,027.40, 150,459.24 and 61,277.96

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Solution

The fourth proportional to 109,027.40, 150,459.24 and 61,277.96 is: 84,564.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,027.40 : 150,459.24 = 61,277.96 : x
  2. Step 2: Convert to fraction form
    109,027.40/150,459.24 = 61,277.96/x
  3. Step 3: Cross multiply
    109,027.40x = 150,459.24 × 61,277.96
  4. Step 4: Simplify right side
    109,027.40x = 9,219,835,290.35
  5. Step 5: Solve for x
    x = 9,219,835,290.35/109,027.40
  6. Step 6: Final answer
    x = 84,564.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.