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Finding the Fourth Proportional to 215,055.85, 322,649.40 and 109,948.63

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Solution

The fourth proportional to 215,055.85, 322,649.40 and 109,948.63 is: 164,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,055.85 : 322,649.40 = 109,948.63 : x
  2. Step 2: Convert to fraction form
    215,055.85/322,649.40 = 109,948.63/x
  3. Step 3: Cross multiply
    215,055.85x = 322,649.40 × 109,948.63
  4. Step 4: Simplify right side
    215,055.85x = 35,474,859,500.32
  5. Step 5: Solve for x
    x = 35,474,859,500.32/215,055.85
  6. Step 6: Final answer
    x = 164,956.50

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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.