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Finding the Fourth Proportional to 194,430.70, 268,314.31 and 105,006.70

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Solution

The fourth proportional to 194,430.70, 268,314.31 and 105,006.70 is: 144,909.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,430.70 : 268,314.31 = 105,006.70 : x
  2. Step 2: Convert to fraction form
    194,430.70/268,314.31 = 105,006.70/x
  3. Step 3: Cross multiply
    194,430.70x = 268,314.31 × 105,006.70
  4. Step 4: Simplify right side
    194,430.70x = 28,174,800,255.88
  5. Step 5: Solve for x
    x = 28,174,800,255.88/194,430.70
  6. Step 6: Final answer
    x = 144,909.22

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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.