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Finding the Fourth Proportional to 151,736.77, 209,396.76 and 83,753.77

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Solution

The fourth proportional to 151,736.77, 209,396.76 and 83,753.77 is: 115,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,736.77 : 209,396.76 = 83,753.77 : x
  2. Step 2: Convert to fraction form
    151,736.77/209,396.76 = 83,753.77/x
  3. Step 3: Cross multiply
    151,736.77x = 209,396.76 × 83,753.77
  4. Step 4: Simplify right side
    151,736.77x = 17,537,767,238.19
  5. Step 5: Solve for x
    x = 17,537,767,238.19/151,736.77
  6. Step 6: Final answer
    x = 115,580.21

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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.