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Finding the Fourth Proportional to 104,114.58, 156,178.71 and 41,776.98

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Solution

The fourth proportional to 104,114.58, 156,178.71 and 41,776.98 is: 62,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,114.58 : 156,178.71 = 41,776.98 : x
  2. Step 2: Convert to fraction form
    104,114.58/156,178.71 = 41,776.98/x
  3. Step 3: Cross multiply
    104,114.58x = 156,178.71 × 41,776.98
  4. Step 4: Simplify right side
    104,114.58x = 6,524,674,844.10
  5. Step 5: Solve for x
    x = 6,524,674,844.10/104,114.58
  6. Step 6: Final answer
    x = 62,668.21

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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.