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Finding the Fourth Proportional to 161,929.76, 223,463.08 and 90,308.24

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Solution

The fourth proportional to 161,929.76, 223,463.08 and 90,308.24 is: 124,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,929.76 : 223,463.08 = 90,308.24 : x
  2. Step 2: Convert to fraction form
    161,929.76/223,463.08 = 90,308.24/x
  3. Step 3: Cross multiply
    161,929.76x = 223,463.08 × 90,308.24
  4. Step 4: Simplify right side
    161,929.76x = 20,180,557,667.83
  5. Step 5: Solve for x
    x = 20,180,557,667.83/161,929.76
  6. Step 6: Final answer
    x = 124,625.38

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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.