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Finding the Fourth Proportional to 142,066.50, 213,101.37 and 42,224.10

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Solution

The fourth proportional to 142,066.50, 213,101.37 and 42,224.10 is: 63,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,066.50 : 213,101.37 = 42,224.10 : x
  2. Step 2: Convert to fraction form
    142,066.50/213,101.37 = 42,224.10/x
  3. Step 3: Cross multiply
    142,066.50x = 213,101.37 × 42,224.10
  4. Step 4: Simplify right side
    142,066.50x = 8,998,013,557.02
  5. Step 5: Solve for x
    x = 8,998,013,557.02/142,066.50
  6. Step 6: Final answer
    x = 63,336.63

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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.