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Finding the Fourth Proportional to 136,416.70, 205,062.45 and 97,245.10

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Solution

The fourth proportional to 136,416.70, 205,062.45 and 97,245.10 is: 146,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,416.70 : 205,062.45 = 97,245.10 : x
  2. Step 2: Convert to fraction form
    136,416.70/205,062.45 = 97,245.10/x
  3. Step 3: Cross multiply
    136,416.70x = 205,062.45 × 97,245.10
  4. Step 4: Simplify right side
    136,416.70x = 19,941,318,456.50
  5. Step 5: Solve for x
    x = 19,941,318,456.50/136,416.70
  6. Step 6: Final answer
    x = 146,179.45

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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.