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Finding the Fourth Proportional to 212,234.82, 292,877.88 and 116,741.49

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Solution

The fourth proportional to 212,234.82, 292,877.88 and 116,741.49 is: 161,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,234.82 : 292,877.88 = 116,741.49 : x
  2. Step 2: Convert to fraction form
    212,234.82/292,877.88 = 116,741.49/x
  3. Step 3: Cross multiply
    212,234.82x = 292,877.88 × 116,741.49
  4. Step 4: Simplify right side
    212,234.82x = 34,191,000,099.24
  5. Step 5: Solve for x
    x = 34,191,000,099.24/212,234.82
  6. Step 6: Final answer
    x = 161,099.86

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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.