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Finding the Fourth Proportional to 228,715.62, 343,106.64 and 70,956.78

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Solution

The fourth proportional to 228,715.62, 343,106.64 and 70,956.78 is: 106,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,715.62 : 343,106.64 = 70,956.78 : x
  2. Step 2: Convert to fraction form
    228,715.62/343,106.64 = 70,956.78/x
  3. Step 3: Cross multiply
    228,715.62x = 343,106.64 × 70,956.78
  4. Step 4: Simplify right side
    228,715.62x = 24,345,742,371.02
  5. Step 5: Solve for x
    x = 24,345,742,371.02/228,715.62
  6. Step 6: Final answer
    x = 106,445.47

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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.