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Finding the Fourth Proportional to 178,149.69, 245,846.61 and 97,580.10

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Solution

The fourth proportional to 178,149.69, 245,846.61 and 97,580.10 is: 134,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,149.69 : 245,846.61 = 97,580.10 : x
  2. Step 2: Convert to fraction form
    178,149.69/245,846.61 = 97,580.10/x
  3. Step 3: Cross multiply
    178,149.69x = 245,846.61 × 97,580.10
  4. Step 4: Simplify right side
    178,149.69x = 23,989,736,788.46
  5. Step 5: Solve for x
    x = 23,989,736,788.46/178,149.69
  6. Step 6: Final answer
    x = 134,660.56

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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.