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Finding the Fourth Proportional to 189,362.84, 261,333.52 and 108,822.47

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Solution

The fourth proportional to 189,362.84, 261,333.52 and 108,822.47 is: 150,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,362.84 : 261,333.52 = 108,822.47 : x
  2. Step 2: Convert to fraction form
    189,362.84/261,333.52 = 108,822.47/x
  3. Step 3: Cross multiply
    189,362.84x = 261,333.52 × 108,822.47
  4. Step 4: Simplify right side
    189,362.84x = 28,438,957,561.47
  5. Step 5: Solve for x
    x = 28,438,957,561.47/189,362.84
  6. Step 6: Final answer
    x = 150,182.36

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1.5x scale

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.