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Finding the Fourth Proportional to 83,261.64, 124,736.94 and 64,754.76

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Solution

The fourth proportional to 83,261.64, 124,736.94 and 64,754.76 is: 97,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,261.64 : 124,736.94 = 64,754.76 : x
  2. Step 2: Convert to fraction form
    83,261.64/124,736.94 = 64,754.76/x
  3. Step 3: Cross multiply
    83,261.64x = 124,736.94 × 64,754.76
  4. Step 4: Simplify right side
    83,261.64x = 8,077,310,612.83
  5. Step 5: Solve for x
    x = 8,077,310,612.83/83,261.64
  6. Step 6: Final answer
    x = 97,011.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.