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Finding the Fourth Proportional to 142,296, 196,140.24 and 96,341.04

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Solution

The fourth proportional to 142,296, 196,140.24 and 96,341.04 is: 132,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,296 : 196,140.24 = 96,341.04 : x
  2. Step 2: Convert to fraction form
    142,296/196,140.24 = 96,341.04/x
  3. Step 3: Cross multiply
    142,296x = 196,140.24 × 96,341.04
  4. Step 4: Simplify right side
    142,296x = 18,896,354,707.45
  5. Step 5: Solve for x
    x = 18,896,354,707.45/142,296
  6. Step 6: Final answer
    x = 132,796.11

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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.