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Finding the Fourth Proportional to 212,742.60, 319,113.90 and 195,027.90

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Solution

The fourth proportional to 212,742.60, 319,113.90 and 195,027.90 is: 292,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,742.60 : 319,113.90 = 195,027.90 : x
  2. Step 2: Convert to fraction form
    212,742.60/319,113.90 = 195,027.90/x
  3. Step 3: Cross multiply
    212,742.60x = 319,113.90 × 195,027.90
  4. Step 4: Simplify right side
    212,742.60x = 62,236,113,777.81
  5. Step 5: Solve for x
    x = 62,236,113,777.81/212,742.60
  6. Step 6: Final answer
    x = 292,541.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.