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Finding the Fourth Proportional to 142,342.60, 213,580.32 and 63,448.60

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Solution

The fourth proportional to 142,342.60, 213,580.32 and 63,448.60 is: 95,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,342.60 : 213,580.32 = 63,448.60 : x
  2. Step 2: Convert to fraction form
    142,342.60/213,580.32 = 63,448.60/x
  3. Step 3: Cross multiply
    142,342.60x = 213,580.32 × 63,448.60
  4. Step 4: Simplify right side
    142,342.60x = 13,551,372,291.55
  5. Step 5: Solve for x
    x = 13,551,372,291.55/142,342.60
  6. Step 6: Final answer
    x = 95,202.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.