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Finding the Fourth Proportional to 97,365.60, 146,048.40 and 55,229.40

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Solution

The fourth proportional to 97,365.60, 146,048.40 and 55,229.40 is: 82,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,365.60 : 146,048.40 = 55,229.40 : x
  2. Step 2: Convert to fraction form
    97,365.60/146,048.40 = 55,229.40/x
  3. Step 3: Cross multiply
    97,365.60x = 146,048.40 × 55,229.40
  4. Step 4: Simplify right side
    97,365.60x = 8,066,165,502.96
  5. Step 5: Solve for x
    x = 8,066,165,502.96/97,365.60
  6. Step 6: Final answer
    x = 82,844.10

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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.