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Finding the Fourth Proportional to 122,368.10, 183,619.05 and 47,491.22

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Solution

The fourth proportional to 122,368.10, 183,619.05 and 47,491.22 is: 71,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,368.10 : 183,619.05 = 47,491.22 : x
  2. Step 2: Convert to fraction form
    122,368.10/183,619.05 = 47,491.22/x
  3. Step 3: Cross multiply
    122,368.10x = 183,619.05 × 47,491.22
  4. Step 4: Simplify right side
    122,368.10x = 8,720,292,699.74
  5. Step 5: Solve for x
    x = 8,720,292,699.74/122,368.10
  6. Step 6: Final answer
    x = 71,262.79

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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.