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Finding the Fourth Proportional to 263,775.92, 364,011 and 144,543.92

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Solution

The fourth proportional to 263,775.92, 364,011 and 144,543.92 is: 199,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,775.92 : 364,011 = 144,543.92 : x
  2. Step 2: Convert to fraction form
    263,775.92/364,011 = 144,543.92/x
  3. Step 3: Cross multiply
    263,775.92x = 364,011 × 144,543.92
  4. Step 4: Simplify right side
    263,775.92x = 52,615,576,863.12
  5. Step 5: Solve for x
    x = 52,615,576,863.12/263,775.92
  6. Step 6: Final answer
    x = 199,470.74

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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.