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Finding the Fourth Proportional to 178,695.45, 246,570.48 and 102,202.22

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Solution

The fourth proportional to 178,695.45, 246,570.48 and 102,202.22 is: 141,022.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,695.45 : 246,570.48 = 102,202.22 : x
  2. Step 2: Convert to fraction form
    178,695.45/246,570.48 = 102,202.22/x
  3. Step 3: Cross multiply
    178,695.45x = 246,570.48 × 102,202.22
  4. Step 4: Simplify right side
    178,695.45x = 25,200,051,058.89
  5. Step 5: Solve for x
    x = 25,200,051,058.89/178,695.45
  6. Step 6: Final answer
    x = 141,022.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.