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Finding the Fourth Proportional to 200,838.15, 301,047.03 and 67,672.40

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Solution

The fourth proportional to 200,838.15, 301,047.03 and 67,672.40 is: 101,437.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,838.15 : 301,047.03 = 67,672.40 : x
  2. Step 2: Convert to fraction form
    200,838.15/301,047.03 = 67,672.40/x
  3. Step 3: Cross multiply
    200,838.15x = 301,047.03 × 67,672.40
  4. Step 4: Simplify right side
    200,838.15x = 20,372,573,527.74
  5. Step 5: Solve for x
    x = 20,372,573,527.74/200,838.15
  6. Step 6: Final answer
    x = 101,437.77

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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.