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Finding the Fourth Proportional to 543,177.90, 814,762.80 and 164,097.90

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Solution

The fourth proportional to 543,177.90, 814,762.80 and 164,097.90 is: 246,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,177.90 : 814,762.80 = 164,097.90 : x
  2. Step 2: Convert to fraction form
    543,177.90/814,762.80 = 164,097.90/x
  3. Step 3: Cross multiply
    543,177.90x = 814,762.80 × 164,097.90
  4. Step 4: Simplify right side
    543,177.90x = 133,700,864,478.12
  5. Step 5: Solve for x
    x = 133,700,864,478.12/543,177.90
  6. Step 6: Final answer
    x = 246,145.63

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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.