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Finding the Fourth Proportional to 228,711.74, 343,051.16 and 70,936.10

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Solution

The fourth proportional to 228,711.74, 343,051.16 and 70,936.10 is: 106,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,711.74 : 343,051.16 = 70,936.10 : x
  2. Step 2: Convert to fraction form
    228,711.74/343,051.16 = 70,936.10/x
  3. Step 3: Cross multiply
    228,711.74x = 343,051.16 × 70,936.10
  4. Step 4: Simplify right side
    228,711.74x = 24,334,709,852.96
  5. Step 5: Solve for x
    x = 24,334,709,852.96/228,711.74
  6. Step 6: Final answer
    x = 106,399.04

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Why These Related Problems?

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