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Finding the Fourth Proportional to 208,742.88, 313,113.24 and 50,972.16

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Solution

The fourth proportional to 208,742.88, 313,113.24 and 50,972.16 is: 76,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,742.88 : 313,113.24 = 50,972.16 : x
  2. Step 2: Convert to fraction form
    208,742.88/313,113.24 = 50,972.16/x
  3. Step 3: Cross multiply
    208,742.88x = 313,113.24 × 50,972.16
  4. Step 4: Simplify right side
    208,742.88x = 15,960,058,167.40
  5. Step 5: Solve for x
    x = 15,960,058,167.40/208,742.88
  6. Step 6: Final answer
    x = 76,457.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.