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Finding the Fourth Proportional to 228,701.70, 343,052.55 and 70,946.10

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Solution

The fourth proportional to 228,701.70, 343,052.55 and 70,946.10 is: 106,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,701.70 : 343,052.55 = 70,946.10 : x
  2. Step 2: Convert to fraction form
    228,701.70/343,052.55 = 70,946.10/x
  3. Step 3: Cross multiply
    228,701.70x = 343,052.55 × 70,946.10
  4. Step 4: Simplify right side
    228,701.70x = 24,338,240,517.56
  5. Step 5: Solve for x
    x = 24,338,240,517.56/228,701.70
  6. Step 6: Final answer
    x = 106,419.15

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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.