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Finding the Fourth Proportional to 215,051.76, 322,643.25 and 109,944.54

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Solution

The fourth proportional to 215,051.76, 322,643.25 and 109,944.54 is: 164,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,051.76 : 322,643.25 = 109,944.54 : x
  2. Step 2: Convert to fraction form
    215,051.76/322,643.25 = 109,944.54/x
  3. Step 3: Cross multiply
    215,051.76x = 322,643.25 × 109,944.54
  4. Step 4: Simplify right side
    215,051.76x = 35,472,863,705.36
  5. Step 5: Solve for x
    x = 35,472,863,705.36/215,051.76
  6. Step 6: Final answer
    x = 164,950.35

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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.