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Finding the Fourth Proportional to 267,642.50, 369,346.65 and 148,410.50

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Solution

The fourth proportional to 267,642.50, 369,346.65 and 148,410.50 is: 204,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,642.50 : 369,346.65 = 148,410.50 : x
  2. Step 2: Convert to fraction form
    267,642.50/369,346.65 = 148,410.50/x
  3. Step 3: Cross multiply
    267,642.50x = 369,346.65 × 148,410.50
  4. Step 4: Simplify right side
    267,642.50x = 54,814,920,999.83
  5. Step 5: Solve for x
    x = 54,814,920,999.83/267,642.50
  6. Step 6: Final answer
    x = 204,806.49

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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.