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Finding the Fourth Proportional to 255,044.20, 382,712.10 and 97,385.80

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Solution

The fourth proportional to 255,044.20, 382,712.10 and 97,385.80 is: 146,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,044.20 : 382,712.10 = 97,385.80 : x
  2. Step 2: Convert to fraction form
    255,044.20/382,712.10 = 97,385.80/x
  3. Step 3: Cross multiply
    255,044.20x = 382,712.10 × 97,385.80
  4. Step 4: Simplify right side
    255,044.20x = 37,270,724,028.18
  5. Step 5: Solve for x
    x = 37,270,724,028.18/255,044.20
  6. Step 6: Final answer
    x = 146,134.37

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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.