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Finding the Fourth Proportional to 249,843.52, 344,775.36 and 142,448.14

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Solution

The fourth proportional to 249,843.52, 344,775.36 and 142,448.14 is: 196,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,843.52 : 344,775.36 = 142,448.14 : x
  2. Step 2: Convert to fraction form
    249,843.52/344,775.36 = 142,448.14/x
  3. Step 3: Cross multiply
    249,843.52x = 344,775.36 × 142,448.14
  4. Step 4: Simplify right side
    249,843.52x = 49,112,608,749.83
  5. Step 5: Solve for x
    x = 49,112,608,749.83/249,843.52
  6. Step 6: Final answer
    x = 196,573.47

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1.5x scale

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.