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Finding the Fourth Proportional to 142,224.08, 213,264.72 and 47,420.72

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Solution

The fourth proportional to 142,224.08, 213,264.72 and 47,420.72 is: 71,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,224.08 : 213,264.72 = 47,420.72 : x
  2. Step 2: Convert to fraction form
    142,224.08/213,264.72 = 47,420.72/x
  3. Step 3: Cross multiply
    142,224.08x = 213,264.72 × 47,420.72
  4. Step 4: Simplify right side
    142,224.08x = 10,113,166,573.00
  5. Step 5: Solve for x
    x = 10,113,166,573.00/142,224.08
  6. Step 6: Final answer
    x = 71,107.27

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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.