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Finding the Fourth Proportional to 384,820.29, 577,315.62 and 132,095.12

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Solution

The fourth proportional to 384,820.29, 577,315.62 and 132,095.12 is: 198,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,820.29 : 577,315.62 = 132,095.12 : x
  2. Step 2: Convert to fraction form
    384,820.29/577,315.62 = 132,095.12/x
  3. Step 3: Cross multiply
    384,820.29x = 577,315.62 × 132,095.12
  4. Step 4: Simplify right side
    384,820.29x = 76,260,573,215.20
  5. Step 5: Solve for x
    x = 76,260,573,215.20/384,820.29
  6. Step 6: Final answer
    x = 198,171.91

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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.