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Finding the Fourth Proportional to 384,074.12, 576,138.86 and 147,416.80

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Solution

The fourth proportional to 384,074.12, 576,138.86 and 147,416.80 is: 221,135.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,074.12 : 576,138.86 = 147,416.80 : x
  2. Step 2: Convert to fraction form
    384,074.12/576,138.86 = 147,416.80/x
  3. Step 3: Cross multiply
    384,074.12x = 576,138.86 × 147,416.80
  4. Step 4: Simplify right side
    384,074.12x = 84,932,547,096.85
  5. Step 5: Solve for x
    x = 84,932,547,096.85/384,074.12
  6. Step 6: Final answer
    x = 221,135.82

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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.