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Finding the Fourth Proportional to 142,817.91, 197,168.36 and 97,563.75

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Solution

The fourth proportional to 142,817.91, 197,168.36 and 97,563.75 is: 134,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,817.91 : 197,168.36 = 97,563.75 : x
  2. Step 2: Convert to fraction form
    142,817.91/197,168.36 = 97,563.75/x
  3. Step 3: Cross multiply
    142,817.91x = 197,168.36 × 97,563.75
  4. Step 4: Simplify right side
    142,817.91x = 19,236,484,095.13
  5. Step 5: Solve for x
    x = 19,236,484,095.13/142,817.91
  6. Step 6: Final answer
    x = 134,692.38

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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.