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Finding the Fourth Proportional to 143,027.34, 197,451.24 and 100,774.50

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Solution

The fourth proportional to 143,027.34, 197,451.24 and 100,774.50 is: 139,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,027.34 : 197,451.24 = 100,774.50 : x
  2. Step 2: Convert to fraction form
    143,027.34/197,451.24 = 100,774.50/x
  3. Step 3: Cross multiply
    143,027.34x = 197,451.24 × 100,774.50
  4. Step 4: Simplify right side
    143,027.34x = 19,898,049,985.38
  5. Step 5: Solve for x
    x = 19,898,049,985.38/143,027.34
  6. Step 6: Final answer
    x = 139,120.60

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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.