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Finding the Fourth Proportional to 219,080.68, 302,142.07 and 142,572.24

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Solution

The fourth proportional to 219,080.68, 302,142.07 and 142,572.24 is: 196,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,080.68 : 302,142.07 = 142,572.24 : x
  2. Step 2: Convert to fraction form
    219,080.68/302,142.07 = 142,572.24/x
  3. Step 3: Cross multiply
    219,080.68x = 302,142.07 × 142,572.24
  4. Step 4: Simplify right side
    219,080.68x = 43,077,071,361.71
  5. Step 5: Solve for x
    x = 43,077,071,361.71/219,080.68
  6. Step 6: Final answer
    x = 196,626.52

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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.