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Finding the Fourth Proportional to 82,124.82, 113,344.11 and 77,058.88

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Solution

The fourth proportional to 82,124.82, 113,344.11 and 77,058.88 is: 106,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,124.82 : 113,344.11 = 77,058.88 : x
  2. Step 2: Convert to fraction form
    82,124.82/113,344.11 = 77,058.88/x
  3. Step 3: Cross multiply
    82,124.82x = 113,344.11 × 77,058.88
  4. Step 4: Simplify right side
    82,124.82x = 8,734,169,887.84
  5. Step 5: Solve for x
    x = 8,734,169,887.84/82,124.82
  6. Step 6: Final answer
    x = 106,352.38

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1.5x scale

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.