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Finding the Fourth Proportional to 150,703.88, 207,971.35 and 83,635.88

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Solution

The fourth proportional to 150,703.88, 207,971.35 and 83,635.88 is: 115,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,703.88 : 207,971.35 = 83,635.88 : x
  2. Step 2: Convert to fraction form
    150,703.88/207,971.35 = 83,635.88/x
  3. Step 3: Cross multiply
    150,703.88x = 207,971.35 × 83,635.88
  4. Step 4: Simplify right side
    150,703.88x = 17,393,865,623.09
  5. Step 5: Solve for x
    x = 17,393,865,623.09/150,703.88
  6. Step 6: Final answer
    x = 115,417.51

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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.