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Finding the Fourth Proportional to 104,242.32, 143,850.53 and 56,494.64

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Solution

The fourth proportional to 104,242.32, 143,850.53 and 56,494.64 is: 77,960.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,242.32 : 143,850.53 = 56,494.64 : x
  2. Step 2: Convert to fraction form
    104,242.32/143,850.53 = 56,494.64/x
  3. Step 3: Cross multiply
    104,242.32x = 143,850.53 × 56,494.64
  4. Step 4: Simplify right side
    104,242.32x = 8,126,784,407.02
  5. Step 5: Solve for x
    x = 8,126,784,407.02/104,242.32
  6. Step 6: Final answer
    x = 77,960.51

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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.