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Finding the Fourth Proportional to 161,984.42, 223,537.86 and 90,364.38

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Solution

The fourth proportional to 161,984.42, 223,537.86 and 90,364.38 is: 124,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,984.42 : 223,537.86 = 90,364.38 : x
  2. Step 2: Convert to fraction form
    161,984.42/223,537.86 = 90,364.38/x
  3. Step 3: Cross multiply
    161,984.42x = 223,537.86 × 90,364.38
  4. Step 4: Simplify right side
    161,984.42x = 20,199,860,125.43
  5. Step 5: Solve for x
    x = 20,199,860,125.43/161,984.42
  6. Step 6: Final answer
    x = 124,702.49

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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.