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Finding the Fourth Proportional to 142,331.50, 196,417.47 and 85,754.62

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Solution

The fourth proportional to 142,331.50, 196,417.47 and 85,754.62 is: 118,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,331.50 : 196,417.47 = 85,754.62 : x
  2. Step 2: Convert to fraction form
    142,331.50/196,417.47 = 85,754.62/x
  3. Step 3: Cross multiply
    142,331.50x = 196,417.47 × 85,754.62
  4. Step 4: Simplify right side
    142,331.50x = 16,843,705,501.21
  5. Step 5: Solve for x
    x = 16,843,705,501.21/142,331.50
  6. Step 6: Final answer
    x = 118,341.38

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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.