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Finding the Fourth Proportional to 176,289, 242,843.05 and 150,363.09

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Solution

The fourth proportional to 176,289, 242,843.05 and 150,363.09 is: 207,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,289 : 242,843.05 = 150,363.09 : x
  2. Step 2: Convert to fraction form
    176,289/242,843.05 = 150,363.09/x
  3. Step 3: Cross multiply
    176,289x = 242,843.05 × 150,363.09
  4. Step 4: Simplify right side
    176,289x = 36,514,631,383.02
  5. Step 5: Solve for x
    x = 36,514,631,383.02/176,289
  6. Step 6: Final answer
    x = 207,129.38

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1.5x scale

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.