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Finding the Fourth Proportional to 102,654.80, 153,982.20 and 97,843.40

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Solution

The fourth proportional to 102,654.80, 153,982.20 and 97,843.40 is: 146,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,654.80 : 153,982.20 = 97,843.40 : x
  2. Step 2: Convert to fraction form
    102,654.80/153,982.20 = 97,843.40/x
  3. Step 3: Cross multiply
    102,654.80x = 153,982.20 × 97,843.40
  4. Step 4: Simplify right side
    102,654.80x = 15,066,141,987.48
  5. Step 5: Solve for x
    x = 15,066,141,987.48/102,654.80
  6. Step 6: Final answer
    x = 146,765.10

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1.5x scale

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.