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Finding the Fourth Proportional to 291,705.41, 437,456.90 and 102,161.59

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Solution

The fourth proportional to 291,705.41, 437,456.90 and 102,161.59 is: 153,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,705.41 : 437,456.90 = 102,161.59 : x
  2. Step 2: Convert to fraction form
    291,705.41/437,456.90 = 102,161.59/x
  3. Step 3: Cross multiply
    291,705.41x = 437,456.90 × 102,161.59
  4. Step 4: Simplify right side
    291,705.41x = 44,691,291,622.23
  5. Step 5: Solve for x
    x = 44,691,291,622.23/291,705.41
  6. Step 6: Final answer
    x = 153,206.94

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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.