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Finding the Fourth Proportional to 249,852.25, 344,801.64 and 136,675

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Solution

The fourth proportional to 249,852.25, 344,801.64 and 136,675 is: 188,614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,852.25 : 344,801.64 = 136,675 : x
  2. Step 2: Convert to fraction form
    249,852.25/344,801.64 = 136,675/x
  3. Step 3: Cross multiply
    249,852.25x = 344,801.64 × 136,675
  4. Step 4: Simplify right side
    249,852.25x = 47,125,764,147
  5. Step 5: Solve for x
    x = 47,125,764,147/249,852.25
  6. Step 6: Final answer
    x = 188,614.53

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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.