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Finding the Fourth Proportional to 228,071.80, 341,718.90 and 188,414.20

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Solution

The fourth proportional to 228,071.80, 341,718.90 and 188,414.20 is: 282,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,071.80 : 341,718.90 = 188,414.20 : x
  2. Step 2: Convert to fraction form
    228,071.80/341,718.90 = 188,414.20/x
  3. Step 3: Cross multiply
    228,071.80x = 341,718.90 × 188,414.20
  4. Step 4: Simplify right side
    228,071.80x = 64,384,693,168.38
  5. Step 5: Solve for x
    x = 64,384,693,168.38/228,071.80
  6. Step 6: Final answer
    x = 282,300.11

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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.