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Finding the Fourth Proportional to 269,852.90, 404,779.35 and 82,840.10

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Solution

The fourth proportional to 269,852.90, 404,779.35 and 82,840.10 is: 124,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,852.90 : 404,779.35 = 82,840.10 : x
  2. Step 2: Convert to fraction form
    269,852.90/404,779.35 = 82,840.10/x
  3. Step 3: Cross multiply
    269,852.90x = 404,779.35 × 82,840.10
  4. Step 4: Simplify right side
    269,852.90x = 33,531,961,831.94
  5. Step 5: Solve for x
    x = 33,531,961,831.94/269,852.90
  6. Step 6: Final answer
    x = 124,260.15

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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.