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Finding the Fourth Proportional to 257,257.66, 355,065.34 and 148,432.37

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Solution

The fourth proportional to 257,257.66, 355,065.34 and 148,432.37 is: 204,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,257.66 : 355,065.34 = 148,432.37 : x
  2. Step 2: Convert to fraction form
    257,257.66/355,065.34 = 148,432.37/x
  3. Step 3: Cross multiply
    257,257.66x = 355,065.34 × 148,432.37
  4. Step 4: Simplify right side
    257,257.66x = 52,703,191,831.57
  5. Step 5: Solve for x
    x = 52,703,191,831.57/257,257.66
  6. Step 6: Final answer
    x = 204,865.39

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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.