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Finding the Fourth Proportional to 104,525.46, 144,244.50 and 56,778.84

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Solution

The fourth proportional to 104,525.46, 144,244.50 and 56,778.84 is: 78,354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,525.46 : 144,244.50 = 56,778.84 : x
  2. Step 2: Convert to fraction form
    104,525.46/144,244.50 = 56,778.84/x
  3. Step 3: Cross multiply
    104,525.46x = 144,244.50 × 56,778.84
  4. Step 4: Simplify right side
    104,525.46x = 8,190,035,386.38
  5. Step 5: Solve for x
    x = 8,190,035,386.38/104,525.46
  6. Step 6: Final answer
    x = 78,354.45

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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.