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Finding the Fourth Proportional to 267,996, 369,838.80 and 148,764

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Solution

The fourth proportional to 267,996, 369,838.80 and 148,764 is: 205,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,996 : 369,838.80 = 148,764 : x
  2. Step 2: Convert to fraction form
    267,996/369,838.80 = 148,764/x
  3. Step 3: Cross multiply
    267,996x = 369,838.80 × 148,764
  4. Step 4: Simplify right side
    267,996x = 55,018,699,243.20
  5. Step 5: Solve for x
    x = 55,018,699,243.20/267,996
  6. Step 6: Final answer
    x = 205,296.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.