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Finding the Fourth Proportional to 164,967.72, 227,642.94 and 96,987.48

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Solution

The fourth proportional to 164,967.72, 227,642.94 and 96,987.48 is: 133,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,967.72 : 227,642.94 = 96,987.48 : x
  2. Step 2: Convert to fraction form
    164,967.72/227,642.94 = 96,987.48/x
  3. Step 3: Cross multiply
    164,967.72x = 227,642.94 × 96,987.48
  4. Step 4: Simplify right side
    164,967.72x = 22,078,515,090.39
  5. Step 5: Solve for x
    x = 22,078,515,090.39/164,967.72
  6. Step 6: Final answer
    x = 133,835.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.