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Finding the Fourth Proportional to 84,229.83, 116,098.74 and 59,709

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Solution

The fourth proportional to 84,229.83, 116,098.74 and 59,709 is: 82,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,229.83 : 116,098.74 = 59,709 : x
  2. Step 2: Convert to fraction form
    84,229.83/116,098.74 = 59,709/x
  3. Step 3: Cross multiply
    84,229.83x = 116,098.74 × 59,709
  4. Step 4: Simplify right side
    84,229.83x = 6,932,139,666.66
  5. Step 5: Solve for x
    x = 6,932,139,666.66/84,229.83
  6. Step 6: Final answer
    x = 82,300.29

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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.