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Finding the Fourth Proportional to 131,264.60, 196,695.30 and 97,827.80

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Solution

The fourth proportional to 131,264.60, 196,695.30 and 97,827.80 is: 146,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,264.60 : 196,695.30 = 97,827.80 : x
  2. Step 2: Convert to fraction form
    131,264.60/196,695.30 = 97,827.80/x
  3. Step 3: Cross multiply
    131,264.60x = 196,695.30 × 97,827.80
  4. Step 4: Simplify right side
    131,264.60x = 19,242,268,469.34
  5. Step 5: Solve for x
    x = 19,242,268,469.34/131,264.60
  6. Step 6: Final answer
    x = 146,591.45

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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.