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Finding the Fourth Proportional to 257,275.63, 355,041.39 and 144,098.38

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Solution

The fourth proportional to 257,275.63, 355,041.39 and 144,098.38 is: 198,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,275.63 : 355,041.39 = 144,098.38 : x
  2. Step 2: Convert to fraction form
    257,275.63/355,041.39 = 144,098.38/x
  3. Step 3: Cross multiply
    257,275.63x = 355,041.39 × 144,098.38
  4. Step 4: Simplify right side
    257,275.63x = 51,160,889,131.95
  5. Step 5: Solve for x
    x = 51,160,889,131.95/257,275.63
  6. Step 6: Final answer
    x = 198,856.34

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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.