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Finding the Fourth Proportional to 219,410.14, 302,808.34 and 158,206.66

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Solution

The fourth proportional to 219,410.14, 302,808.34 and 158,206.66 is: 218,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,410.14 : 302,808.34 = 158,206.66 : x
  2. Step 2: Convert to fraction form
    219,410.14/302,808.34 = 158,206.66/x
  3. Step 3: Cross multiply
    219,410.14x = 302,808.34 × 158,206.66
  4. Step 4: Simplify right side
    219,410.14x = 47,906,296,091.54
  5. Step 5: Solve for x
    x = 47,906,296,091.54/219,410.14
  6. Step 6: Final answer
    x = 218,341.30

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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.