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Finding the Fourth Proportional to 269,688.96, 404,468.16 and 82,702.08

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Solution

The fourth proportional to 269,688.96, 404,468.16 and 82,702.08 is: 124,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,688.96 : 404,468.16 = 82,702.08 : x
  2. Step 2: Convert to fraction form
    269,688.96/404,468.16 = 82,702.08/x
  3. Step 3: Cross multiply
    269,688.96x = 404,468.16 × 82,702.08
  4. Step 4: Simplify right side
    269,688.96x = 33,450,358,125.77
  5. Step 5: Solve for x
    x = 33,450,358,125.77/269,688.96
  6. Step 6: Final answer
    x = 124,033.10

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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.