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Finding the Fourth Proportional to 82,838.80, 124,258.20 and 73,853.20

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Solution

The fourth proportional to 82,838.80, 124,258.20 and 73,853.20 is: 110,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,838.80 : 124,258.20 = 73,853.20 : x
  2. Step 2: Convert to fraction form
    82,838.80/124,258.20 = 73,853.20/x
  3. Step 3: Cross multiply
    82,838.80x = 124,258.20 × 73,853.20
  4. Step 4: Simplify right side
    82,838.80x = 9,176,865,696.24
  5. Step 5: Solve for x
    x = 9,176,865,696.24/82,838.80
  6. Step 6: Final answer
    x = 110,779.80

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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.