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Finding the Fourth Proportional to 97,998.24, 146,976.48 and 57,447.48

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Solution

The fourth proportional to 97,998.24, 146,976.48 and 57,447.48 is: 86,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998.24 : 146,976.48 = 57,447.48 : x
  2. Step 2: Convert to fraction form
    97,998.24/146,976.48 = 57,447.48/x
  3. Step 3: Cross multiply
    97,998.24x = 146,976.48 × 57,447.48
  4. Step 4: Simplify right side
    97,998.24x = 8,443,428,395.27
  5. Step 5: Solve for x
    x = 8,443,428,395.27/97,998.24
  6. Step 6: Final answer
    x = 86,158.98

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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.