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Finding the Fourth Proportional to 178,223.88, 245,951.98 and 97,659.24

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Solution

The fourth proportional to 178,223.88, 245,951.98 and 97,659.24 is: 134,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,223.88 : 245,951.98 = 97,659.24 : x
  2. Step 2: Convert to fraction form
    178,223.88/245,951.98 = 97,659.24/x
  3. Step 3: Cross multiply
    178,223.88x = 245,951.98 × 97,659.24
  4. Step 4: Simplify right side
    178,223.88x = 24,019,483,443.30
  5. Step 5: Solve for x
    x = 24,019,483,443.30/178,223.88
  6. Step 6: Final answer
    x = 134,771.41

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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.