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Finding the Fourth Proportional to 178,255.12, 245,968.72 and 106,609

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Solution

The fourth proportional to 178,255.12, 245,968.72 and 106,609 is: 147,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,255.12 : 245,968.72 = 106,609 : x
  2. Step 2: Convert to fraction form
    178,255.12/245,968.72 = 106,609/x
  3. Step 3: Cross multiply
    178,255.12x = 245,968.72 × 106,609
  4. Step 4: Simplify right side
    178,255.12x = 26,222,479,270.48
  5. Step 5: Solve for x
    x = 26,222,479,270.48/178,255.12
  6. Step 6: Final answer
    x = 147,106.46

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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.