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Finding the Fourth Proportional to 166,991.50, 250,501.92 and 42,332.50

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Solution

The fourth proportional to 166,991.50, 250,501.92 and 42,332.50 is: 63,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,991.50 : 250,501.92 = 42,332.50 : x
  2. Step 2: Convert to fraction form
    166,991.50/250,501.92 = 42,332.50/x
  3. Step 3: Cross multiply
    166,991.50x = 250,501.92 × 42,332.50
  4. Step 4: Simplify right side
    166,991.50x = 10,604,372,528.40
  5. Step 5: Solve for x
    x = 10,604,372,528.40/166,991.50
  6. Step 6: Final answer
    x = 63,502.47

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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.