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Finding the Fourth Proportional to 104,197.36, 143,792.16 and 56,452

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Solution

The fourth proportional to 104,197.36, 143,792.16 and 56,452 is: 77,903.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,197.36 : 143,792.16 = 56,452 : x
  2. Step 2: Convert to fraction form
    104,197.36/143,792.16 = 56,452/x
  3. Step 3: Cross multiply
    104,197.36x = 143,792.16 × 56,452
  4. Step 4: Simplify right side
    104,197.36x = 8,117,355,016.32
  5. Step 5: Solve for x
    x = 8,117,355,016.32/104,197.36
  6. Step 6: Final answer
    x = 77,903.65

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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.