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Finding the Fourth Proportional to 157,523.82, 217,388.33 and 89,543.64

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Solution

The fourth proportional to 157,523.82, 217,388.33 and 89,543.64 is: 123,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,523.82 : 217,388.33 = 89,543.64 : x
  2. Step 2: Convert to fraction form
    157,523.82/217,388.33 = 89,543.64/x
  3. Step 3: Cross multiply
    157,523.82x = 217,388.33 × 89,543.64
  4. Step 4: Simplify right side
    157,523.82x = 19,465,741,914.00
  5. Step 5: Solve for x
    x = 19,465,741,914.00/157,523.82
  6. Step 6: Final answer
    x = 123,573.32

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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.