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Finding the Fourth Proportional to 181,228, 250,094.64 and 101,740

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Solution

The fourth proportional to 181,228, 250,094.64 and 101,740 is: 140,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,228 : 250,094.64 = 101,740 : x
  2. Step 2: Convert to fraction form
    181,228/250,094.64 = 101,740/x
  3. Step 3: Cross multiply
    181,228x = 250,094.64 × 101,740
  4. Step 4: Simplify right side
    181,228x = 25,444,628,673.60
  5. Step 5: Solve for x
    x = 25,444,628,673.60/181,228
  6. Step 6: Final answer
    x = 140,401.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.