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Finding the Fourth Proportional to 249,022, 343,650.36 and 135,845.20

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Solution

The fourth proportional to 249,022, 343,650.36 and 135,845.20 is: 187,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,022 : 343,650.36 = 135,845.20 : x
  2. Step 2: Convert to fraction form
    249,022/343,650.36 = 135,845.20/x
  3. Step 3: Cross multiply
    249,022x = 343,650.36 × 135,845.20
  4. Step 4: Simplify right side
    249,022x = 46,683,251,884.27
  5. Step 5: Solve for x
    x = 46,683,251,884.27/249,022
  6. Step 6: Final answer
    x = 187,466.38

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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.