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Finding the Fourth Proportional to 177,884, 266,398.38 and 101,751.79

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Solution

The fourth proportional to 177,884, 266,398.38 and 101,751.79 is: 152,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,884 : 266,398.38 = 101,751.79 : x
  2. Step 2: Convert to fraction form
    177,884/266,398.38 = 101,751.79/x
  3. Step 3: Cross multiply
    177,884x = 266,398.38 × 101,751.79
  4. Step 4: Simplify right side
    177,884x = 27,106,512,018.10
  5. Step 5: Solve for x
    x = 27,106,512,018.10/177,884
  6. Step 6: Final answer
    x = 152,383.08

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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.