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Finding the Fourth Proportional to 288,345.46, 432,197.07 and 119,771.86

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Solution

The fourth proportional to 288,345.46, 432,197.07 and 119,771.86 is: 179,524.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,345.46 : 432,197.07 = 119,771.86 : x
  2. Step 2: Convert to fraction form
    288,345.46/432,197.07 = 119,771.86/x
  3. Step 3: Cross multiply
    288,345.46x = 432,197.07 × 119,771.86
  4. Step 4: Simplify right side
    288,345.46x = 51,765,046,960.45
  5. Step 5: Solve for x
    x = 51,765,046,960.45/288,345.46
  6. Step 6: Final answer
    x = 179,524.40

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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.