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Finding the Fourth Proportional to 249,046.40, 343,682.40 and 141,616.44

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Solution

The fourth proportional to 249,046.40, 343,682.40 and 141,616.44 is: 195,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,046.40 : 343,682.40 = 141,616.44 : x
  2. Step 2: Convert to fraction form
    249,046.40/343,682.40 = 141,616.44/x
  3. Step 3: Cross multiply
    249,046.40x = 343,682.40 × 141,616.44
  4. Step 4: Simplify right side
    249,046.40x = 48,671,077,978.66
  5. Step 5: Solve for x
    x = 48,671,077,978.66/249,046.40
  6. Step 6: Final answer
    x = 195,429.76

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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.