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Finding the Fourth Proportional to 357,273.20, 535,909.80 and 146,802.80

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Solution

The fourth proportional to 357,273.20, 535,909.80 and 146,802.80 is: 220,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,273.20 : 535,909.80 = 146,802.80 : x
  2. Step 2: Convert to fraction form
    357,273.20/535,909.80 = 146,802.80/x
  3. Step 3: Cross multiply
    357,273.20x = 535,909.80 × 146,802.80
  4. Step 4: Simplify right side
    357,273.20x = 78,673,059,187.44
  5. Step 5: Solve for x
    x = 78,673,059,187.44/357,273.20
  6. Step 6: Final answer
    x = 220,204.20

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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.