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Finding the Fourth Proportional to 157,980.36, 218,014.34 and 89,996.32

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Solution

The fourth proportional to 157,980.36, 218,014.34 and 89,996.32 is: 124,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,980.36 : 218,014.34 = 89,996.32 : x
  2. Step 2: Convert to fraction form
    157,980.36/218,014.34 = 89,996.32/x
  3. Step 3: Cross multiply
    157,980.36x = 218,014.34 × 89,996.32
  4. Step 4: Simplify right side
    157,980.36x = 19,620,489,502.27
  5. Step 5: Solve for x
    x = 19,620,489,502.27/157,980.36
  6. Step 6: Final answer
    x = 124,195.75

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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.