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Finding the Fourth Proportional to 402,809.50, 604,085.26 and 132,877.23

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Solution

The fourth proportional to 402,809.50, 604,085.26 and 132,877.23 is: 199,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,809.50 : 604,085.26 = 132,877.23 : x
  2. Step 2: Convert to fraction form
    402,809.50/604,085.26 = 132,877.23/x
  3. Step 3: Cross multiply
    402,809.50x = 604,085.26 × 132,877.23
  4. Step 4: Simplify right side
    402,809.50x = 80,269,176,032.63
  5. Step 5: Solve for x
    x = 80,269,176,032.63/402,809.50
  6. Step 6: Final answer
    x = 199,273.29

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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.