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Finding the Fourth Proportional to 142,200.84, 196,236.54 and 78,538.32

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Solution

The fourth proportional to 142,200.84, 196,236.54 and 78,538.32 is: 108,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,200.84 : 196,236.54 = 78,538.32 : x
  2. Step 2: Convert to fraction form
    142,200.84/196,236.54 = 78,538.32/x
  3. Step 3: Cross multiply
    142,200.84x = 196,236.54 × 78,538.32
  4. Step 4: Simplify right side
    142,200.84x = 15,412,088,174.21
  5. Step 5: Solve for x
    x = 15,412,088,174.21/142,200.84
  6. Step 6: Final answer
    x = 108,382.54

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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.