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Finding the Fourth Proportional to 155,709.23, 214,834.28 and 87,702.48

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Solution

The fourth proportional to 155,709.23, 214,834.28 and 87,702.48 is: 121,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,709.23 : 214,834.28 = 87,702.48 : x
  2. Step 2: Convert to fraction form
    155,709.23/214,834.28 = 87,702.48/x
  3. Step 3: Cross multiply
    155,709.23x = 214,834.28 × 87,702.48
  4. Step 4: Simplify right side
    155,709.23x = 18,841,498,706.50
  5. Step 5: Solve for x
    x = 18,841,498,706.50/155,709.23
  6. Step 6: Final answer
    x = 121,004.38

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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.