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Finding the Fourth Proportional to 288,685.15, 433,045.44 and 111,192.68

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Solution

The fourth proportional to 288,685.15, 433,045.44 and 111,192.68 is: 166,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,685.15 : 433,045.44 = 111,192.68 : x
  2. Step 2: Convert to fraction form
    288,685.15/433,045.44 = 111,192.68/x
  3. Step 3: Cross multiply
    288,685.15x = 433,045.44 × 111,192.68
  4. Step 4: Simplify right side
    288,685.15x = 48,151,484,117.99
  5. Step 5: Solve for x
    x = 48,151,484,117.99/288,685.15
  6. Step 6: Final answer
    x = 166,795.85

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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.