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Finding the Fourth Proportional to 157,530.49, 217,383.41 and 89,538.01

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Solution

The fourth proportional to 157,530.49, 217,383.41 and 89,538.01 is: 123,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,530.49 : 217,383.41 = 89,538.01 : x
  2. Step 2: Convert to fraction form
    157,530.49/217,383.41 = 89,538.01/x
  3. Step 3: Cross multiply
    157,530.49x = 217,383.41 × 89,538.01
  4. Step 4: Simplify right side
    157,530.49x = 19,464,077,618.80
  5. Step 5: Solve for x
    x = 19,464,077,618.80/157,530.49
  6. Step 6: Final answer
    x = 123,557.53

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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.