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Finding the Fourth Proportional to 217,360.32, 299,957.70 and 120,570.96

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Solution

The fourth proportional to 217,360.32, 299,957.70 and 120,570.96 is: 166,388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,360.32 : 299,957.70 = 120,570.96 : x
  2. Step 2: Convert to fraction form
    217,360.32/299,957.70 = 120,570.96/x
  3. Step 3: Cross multiply
    217,360.32x = 299,957.70 × 120,570.96
  4. Step 4: Simplify right side
    217,360.32x = 36,166,187,848.39
  5. Step 5: Solve for x
    x = 36,166,187,848.39/217,360.32
  6. Step 6: Final answer
    x = 166,388.18

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