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Finding the Fourth Proportional to 177,802.74, 266,912.28 and 140,388.03

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Solution

The fourth proportional to 177,802.74, 266,912.28 and 140,388.03 is: 210,746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,802.74 : 266,912.28 = 140,388.03 : x
  2. Step 2: Convert to fraction form
    177,802.74/266,912.28 = 140,388.03/x
  3. Step 3: Cross multiply
    177,802.74x = 266,912.28 × 140,388.03
  4. Step 4: Simplify right side
    177,802.74x = 37,471,289,172.01
  5. Step 5: Solve for x
    x = 37,471,289,172.01/177,802.74
  6. Step 6: Final answer
    x = 210,746.41

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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.