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Finding the Fourth Proportional to 142,324.46, 213,486.42 and 133,663.94

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Solution

The fourth proportional to 142,324.46, 213,486.42 and 133,663.94 is: 200,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,324.46 : 213,486.42 = 133,663.94 : x
  2. Step 2: Convert to fraction form
    142,324.46/213,486.42 = 133,663.94/x
  3. Step 3: Cross multiply
    142,324.46x = 213,486.42 × 133,663.94
  4. Step 4: Simplify right side
    142,324.46x = 28,535,436,033.69
  5. Step 5: Solve for x
    x = 28,535,436,033.69/142,324.46
  6. Step 6: Final answer
    x = 200,495.66

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1.5x scale

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.