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Finding the Fourth Proportional to 131,257.60, 196,684.80 and 97,820.80

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Solution

The fourth proportional to 131,257.60, 196,684.80 and 97,820.80 is: 146,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,257.60 : 196,684.80 = 97,820.80 : x
  2. Step 2: Convert to fraction form
    131,257.60/196,684.80 = 97,820.80/x
  3. Step 3: Cross multiply
    131,257.60x = 196,684.80 × 97,820.80
  4. Step 4: Simplify right side
    131,257.60x = 19,239,864,483.84
  5. Step 5: Solve for x
    x = 19,239,864,483.84/131,257.60
  6. Step 6: Final answer
    x = 146,580.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.