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Finding the Fourth Proportional to 134,321.40, 201,417.44 and 78,174.09

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Solution

The fourth proportional to 134,321.40, 201,417.44 and 78,174.09 is: 117,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,321.40 : 201,417.44 = 78,174.09 : x
  2. Step 2: Convert to fraction form
    134,321.40/201,417.44 = 78,174.09/x
  3. Step 3: Cross multiply
    134,321.40x = 201,417.44 × 78,174.09
  4. Step 4: Simplify right side
    134,321.40x = 15,745,624,691.26
  5. Step 5: Solve for x
    x = 15,745,624,691.26/134,321.40
  6. Step 6: Final answer
    x = 117,223.50

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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.