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Finding the Fourth Proportional to 162,196.38, 223,808.82 and 90,567.24

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Solution

The fourth proportional to 162,196.38, 223,808.82 and 90,567.24 is: 124,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,196.38 : 223,808.82 = 90,567.24 : x
  2. Step 2: Convert to fraction form
    162,196.38/223,808.82 = 90,567.24/x
  3. Step 3: Cross multiply
    162,196.38x = 223,808.82 × 90,567.24
  4. Step 4: Simplify right side
    162,196.38x = 20,269,747,115.06
  5. Step 5: Solve for x
    x = 20,269,747,115.06/162,196.38
  6. Step 6: Final answer
    x = 124,970.40

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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.