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Finding the Fourth Proportional to 210,538.98, 316,027.17 and 140,904.90

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Solution

The fourth proportional to 210,538.98, 316,027.17 and 140,904.90 is: 211,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,538.98 : 316,027.17 = 140,904.90 : x
  2. Step 2: Convert to fraction form
    210,538.98/316,027.17 = 140,904.90/x
  3. Step 3: Cross multiply
    210,538.98x = 316,027.17 × 140,904.90
  4. Step 4: Simplify right side
    210,538.98x = 44,529,776,786.13
  5. Step 5: Solve for x
    x = 44,529,776,786.13/210,538.98
  6. Step 6: Final answer
    x = 211,503.72

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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.