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Finding the Fourth Proportional to 267,655.28, 369,362.55 and 152,969

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Solution

The fourth proportional to 267,655.28, 369,362.55 and 152,969 is: 211,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,655.28 : 369,362.55 = 152,969 : x
  2. Step 2: Convert to fraction form
    267,655.28/369,362.55 = 152,969/x
  3. Step 3: Cross multiply
    267,655.28x = 369,362.55 × 152,969
  4. Step 4: Simplify right side
    267,655.28x = 56,501,019,910.95
  5. Step 5: Solve for x
    x = 56,501,019,910.95/267,655.28
  6. Step 6: Final answer
    x = 211,096.23

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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.