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Finding the Fourth Proportional to 106,814.50, 147,401.58 and 59,068.24

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Solution

The fourth proportional to 106,814.50, 147,401.58 and 59,068.24 is: 81,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.50 : 147,401.58 = 59,068.24 : x
  2. Step 2: Convert to fraction form
    106,814.50/147,401.58 = 59,068.24/x
  3. Step 3: Cross multiply
    106,814.50x = 147,401.58 × 59,068.24
  4. Step 4: Simplify right side
    106,814.50x = 8,706,751,903.82
  5. Step 5: Solve for x
    x = 8,706,751,903.82/106,814.50
  6. Step 6: Final answer
    x = 81,512.83

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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.