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Finding the Fourth Proportional to 228,206.08, 342,310.08 and 149,816.32

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Solution

The fourth proportional to 228,206.08, 342,310.08 and 149,816.32 is: 224,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,206.08 : 342,310.08 = 149,816.32 : x
  2. Step 2: Convert to fraction form
    228,206.08/342,310.08 = 149,816.32/x
  3. Step 3: Cross multiply
    228,206.08x = 342,310.08 × 149,816.32
  4. Step 4: Simplify right side
    228,206.08x = 51,283,636,484.51
  5. Step 5: Solve for x
    x = 51,283,636,484.51/228,206.08
  6. Step 6: Final answer
    x = 224,725.11

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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.