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Finding the Fourth Proportional to 178,066.56, 245,722.43 and 97,478.48

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Solution

The fourth proportional to 178,066.56, 245,722.43 and 97,478.48 is: 134,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,066.56 : 245,722.43 = 97,478.48 : x
  2. Step 2: Convert to fraction form
    178,066.56/245,722.43 = 97,478.48/x
  3. Step 3: Cross multiply
    178,066.56x = 245,722.43 × 97,478.48
  4. Step 4: Simplify right side
    178,066.56x = 23,952,647,262.30
  5. Step 5: Solve for x
    x = 23,952,647,262.30/178,066.56
  6. Step 6: Final answer
    x = 134,515.13

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Why These Related Problems?

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