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Finding the Fourth Proportional to 249,576.67, 344,408.11 and 142,162.03

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Solution

The fourth proportional to 249,576.67, 344,408.11 and 142,162.03 is: 196,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,576.67 : 344,408.11 = 142,162.03 : x
  2. Step 2: Convert to fraction form
    249,576.67/344,408.11 = 142,162.03/x
  3. Step 3: Cross multiply
    249,576.67x = 344,408.11 × 142,162.03
  4. Step 4: Simplify right side
    249,576.67x = 48,961,756,066.06
  5. Step 5: Solve for x
    x = 48,961,756,066.06/249,576.67
  6. Step 6: Final answer
    x = 196,179.22

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Why These Related Problems?

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