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Finding the Fourth Proportional to 103,223.34, 142,449.84 and 57,911.40

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Solution

The fourth proportional to 103,223.34, 142,449.84 and 57,911.40 is: 79,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,223.34 : 142,449.84 = 57,911.40 : x
  2. Step 2: Convert to fraction form
    103,223.34/142,449.84 = 57,911.40/x
  3. Step 3: Cross multiply
    103,223.34x = 142,449.84 × 57,911.40
  4. Step 4: Simplify right side
    103,223.34x = 8,249,469,664.18
  5. Step 5: Solve for x
    x = 8,249,469,664.18/103,223.34
  6. Step 6: Final answer
    x = 79,918.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.