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Finding the Fourth Proportional to 228,476.04, 342,785.74 and 137,396.26

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Solution

The fourth proportional to 228,476.04, 342,785.74 and 137,396.26 is: 206,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,476.04 : 342,785.74 = 137,396.26 : x
  2. Step 2: Convert to fraction form
    228,476.04/342,785.74 = 137,396.26/x
  3. Step 3: Cross multiply
    228,476.04x = 342,785.74 × 137,396.26
  4. Step 4: Simplify right side
    228,476.04x = 47,097,478,657.33
  5. Step 5: Solve for x
    x = 47,097,478,657.33/228,476.04
  6. Step 6: Final answer
    x = 206,137.50

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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.