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Finding the Fourth Proportional to 257,491.62, 355,326.06 and 142,774.92

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Solution

The fourth proportional to 257,491.62, 355,326.06 and 142,774.92 is: 197,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,491.62 : 355,326.06 = 142,774.92 : x
  2. Step 2: Convert to fraction form
    257,491.62/355,326.06 = 142,774.92/x
  3. Step 3: Cross multiply
    257,491.62x = 355,326.06 × 142,774.92
  4. Step 4: Simplify right side
    257,491.62x = 50,731,649,790.42
  5. Step 5: Solve for x
    x = 50,731,649,790.42/257,491.62
  6. Step 6: Final answer
    x = 197,022.53

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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.