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Finding the Fourth Proportional to 103,113.16, 142,296.24 and 58,401.16

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Solution

The fourth proportional to 103,113.16, 142,296.24 and 58,401.16 is: 80,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,113.16 : 142,296.24 = 58,401.16 : x
  2. Step 2: Convert to fraction form
    103,113.16/142,296.24 = 58,401.16/x
  3. Step 3: Cross multiply
    103,113.16x = 142,296.24 × 58,401.16
  4. Step 4: Simplify right side
    103,113.16x = 8,310,265,479.64
  5. Step 5: Solve for x
    x = 8,310,265,479.64/103,113.16
  6. Step 6: Final answer
    x = 80,593.65

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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.