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Finding the Fourth Proportional to 286,195.77, 429,366.15 and 202,120.20

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Solution

The fourth proportional to 286,195.77, 429,366.15 and 202,120.20 is: 303,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,195.77 : 429,366.15 = 202,120.20 : x
  2. Step 2: Convert to fraction form
    286,195.77/429,366.15 = 202,120.20/x
  3. Step 3: Cross multiply
    286,195.77x = 429,366.15 × 202,120.20
  4. Step 4: Simplify right side
    286,195.77x = 86,783,572,111.23
  5. Step 5: Solve for x
    x = 86,783,572,111.23/286,195.77
  6. Step 6: Final answer
    x = 303,231.50

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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.