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Finding the Fourth Proportional to 200,376.24, 300,686.48 and 104,323.20

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Solution

The fourth proportional to 200,376.24, 300,686.48 and 104,323.20 is: 156,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,376.24 : 300,686.48 = 104,323.20 : x
  2. Step 2: Convert to fraction form
    200,376.24/300,686.48 = 104,323.20/x
  3. Step 3: Cross multiply
    200,376.24x = 300,686.48 × 104,323.20
  4. Step 4: Simplify right side
    200,376.24x = 31,368,575,790.34
  5. Step 5: Solve for x
    x = 31,368,575,790.34/200,376.24
  6. Step 6: Final answer
    x = 156,548.38

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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.