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Finding the Fourth Proportional to 249,797.92, 344,712.59 and 142,402.57

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Solution

The fourth proportional to 249,797.92, 344,712.59 and 142,402.57 is: 196,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,797.92 : 344,712.59 = 142,402.57 : x
  2. Step 2: Convert to fraction form
    249,797.92/344,712.59 = 142,402.57/x
  3. Step 3: Cross multiply
    249,797.92x = 344,712.59 × 142,402.57
  4. Step 4: Simplify right side
    249,797.92x = 49,087,958,727.36
  5. Step 5: Solve for x
    x = 49,087,958,727.36/249,797.92
  6. Step 6: Final answer
    x = 196,510.68

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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.