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Finding the Fourth Proportional to 288,161.96, 432,298.92 and 110,655.92

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Solution

The fourth proportional to 288,161.96, 432,298.92 and 110,655.92 is: 166,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,161.96 : 432,298.92 = 110,655.92 : x
  2. Step 2: Convert to fraction form
    288,161.96/432,298.92 = 110,655.92/x
  3. Step 3: Cross multiply
    288,161.96x = 432,298.92 × 110,655.92
  4. Step 4: Simplify right side
    288,161.96x = 47,836,434,707.61
  5. Step 5: Solve for x
    x = 47,836,434,707.61/288,161.96
  6. Step 6: Final answer
    x = 166,005.38

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1.5x scale

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.