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Finding the Fourth Proportional to 200,914.40, 301,371.58 and 156,574.32

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Solution

The fourth proportional to 200,914.40, 301,371.58 and 156,574.32 is: 234,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,914.40 : 301,371.58 = 156,574.32 : x
  2. Step 2: Convert to fraction form
    200,914.40/301,371.58 = 156,574.32/x
  3. Step 3: Cross multiply
    200,914.40x = 301,371.58 × 156,574.32
  4. Step 4: Simplify right side
    200,914.40x = 47,187,049,814.39
  5. Step 5: Solve for x
    x = 47,187,049,814.39/200,914.40
  6. Step 6: Final answer
    x = 234,861.47

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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.