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Finding the Fourth Proportional to 240,494.36, 360,790.74 and 82,702.32

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Solution

The fourth proportional to 240,494.36, 360,790.74 and 82,702.32 is: 124,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,494.36 : 360,790.74 = 82,702.32 : x
  2. Step 2: Convert to fraction form
    240,494.36/360,790.74 = 82,702.32/x
  3. Step 3: Cross multiply
    240,494.36x = 360,790.74 × 82,702.32
  4. Step 4: Simplify right side
    240,494.36x = 29,838,231,232.52
  5. Step 5: Solve for x
    x = 29,838,231,232.52/240,494.36
  6. Step 6: Final answer
    x = 124,070.40

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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.