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Finding the Fourth Proportional to 197,641.80, 296,025.30 and 162,649.80

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Solution

The fourth proportional to 197,641.80, 296,025.30 and 162,649.80 is: 243,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,641.80 : 296,025.30 = 162,649.80 : x
  2. Step 2: Convert to fraction form
    197,641.80/296,025.30 = 162,649.80/x
  3. Step 3: Cross multiply
    197,641.80x = 296,025.30 × 162,649.80
  4. Step 4: Simplify right side
    197,641.80x = 48,148,455,839.94
  5. Step 5: Solve for x
    x = 48,148,455,839.94/197,641.80
  6. Step 6: Final answer
    x = 243,614.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.