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Finding the Fourth Proportional to 161,176.84, 222,331.38 and 100,642.40

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Solution

The fourth proportional to 161,176.84, 222,331.38 and 100,642.40 is: 138,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,176.84 : 222,331.38 = 100,642.40 : x
  2. Step 2: Convert to fraction form
    161,176.84/222,331.38 = 100,642.40/x
  3. Step 3: Cross multiply
    161,176.84x = 222,331.38 × 100,642.40
  4. Step 4: Simplify right side
    161,176.84x = 22,375,963,678.51
  5. Step 5: Solve for x
    x = 22,375,963,678.51/161,176.84
  6. Step 6: Final answer
    x = 138,828.65

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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.