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Finding the Fourth Proportional to 543,113.66, 814,671.17 and 188,127.64

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Solution

The fourth proportional to 543,113.66, 814,671.17 and 188,127.64 is: 282,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,113.66 : 814,671.17 = 188,127.64 : x
  2. Step 2: Convert to fraction form
    543,113.66/814,671.17 = 188,127.64/x
  3. Step 3: Cross multiply
    543,113.66x = 814,671.17 × 188,127.64
  4. Step 4: Simplify right side
    543,113.66x = 153,262,163,080.06
  5. Step 5: Solve for x
    x = 153,262,163,080.06/543,113.66
  6. Step 6: Final answer
    x = 282,191.69

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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.