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Finding the Fourth Proportional to 255,104.20, 382,802.10 and 97,445.80

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Solution

The fourth proportional to 255,104.20, 382,802.10 and 97,445.80 is: 146,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,104.20 : 382,802.10 = 97,445.80 : x
  2. Step 2: Convert to fraction form
    255,104.20/382,802.10 = 97,445.80/x
  3. Step 3: Cross multiply
    255,104.20x = 382,802.10 × 97,445.80
  4. Step 4: Simplify right side
    255,104.20x = 37,302,456,876.18
  5. Step 5: Solve for x
    x = 37,302,456,876.18/255,104.20
  6. Step 6: Final answer
    x = 146,224.39

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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.