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Finding the Fourth Proportional to 219,033.32, 302,110.05 and 142,410.35

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Solution

The fourth proportional to 219,033.32, 302,110.05 and 142,410.35 is: 196,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,033.32 : 302,110.05 = 142,410.35 : x
  2. Step 2: Convert to fraction form
    219,033.32/302,110.05 = 142,410.35/x
  3. Step 3: Cross multiply
    219,033.32x = 302,110.05 × 142,410.35
  4. Step 4: Simplify right side
    219,033.32x = 43,023,599,248.33
  5. Step 5: Solve for x
    x = 43,023,599,248.33/219,033.32
  6. Step 6: Final answer
    x = 196,424.91

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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.