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Finding the Fourth Proportional to 178,144.36, 245,842.02 and 97,570.44

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Solution

The fourth proportional to 178,144.36, 245,842.02 and 97,570.44 is: 134,648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,144.36 : 245,842.02 = 97,570.44 : x
  2. Step 2: Convert to fraction form
    178,144.36/245,842.02 = 97,570.44/x
  3. Step 3: Cross multiply
    178,144.36x = 245,842.02 × 97,570.44
  4. Step 4: Simplify right side
    178,144.36x = 23,986,914,061.89
  5. Step 5: Solve for x
    x = 23,986,914,061.89/178,144.36
  6. Step 6: Final answer
    x = 134,648.74

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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.