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Finding the Fourth Proportional to 142,292, 213,507.36 and 95,452.64

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Solution

The fourth proportional to 142,292, 213,507.36 and 95,452.64 is: 143,225.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,292 : 213,507.36 = 95,452.64 : x
  2. Step 2: Convert to fraction form
    142,292/213,507.36 = 95,452.64/x
  3. Step 3: Cross multiply
    142,292x = 213,507.36 × 95,452.64
  4. Step 4: Simplify right side
    142,292x = 20,379,841,171.43
  5. Step 5: Solve for x
    x = 20,379,841,171.43/142,292
  6. Step 6: Final answer
    x = 143,225.49

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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.