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Finding the Fourth Proportional to 151,505.64, 209,082.26 and 83,525.48

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Solution

The fourth proportional to 151,505.64, 209,082.26 and 83,525.48 is: 115,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,505.64 : 209,082.26 = 83,525.48 : x
  2. Step 2: Convert to fraction form
    151,505.64/209,082.26 = 83,525.48/x
  3. Step 3: Cross multiply
    151,505.64x = 209,082.26 × 83,525.48
  4. Step 4: Simplify right side
    151,505.64x = 17,463,696,073.45
  5. Step 5: Solve for x
    x = 17,463,696,073.45/151,505.64
  6. Step 6: Final answer
    x = 115,267.63

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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.