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Finding the Fourth Proportional to 200,889.45, 301,334.18 and 156,549.38

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Solution

The fourth proportional to 200,889.45, 301,334.18 and 156,549.38 is: 234,824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,889.45 : 301,334.18 = 156,549.38 : x
  2. Step 2: Convert to fraction form
    200,889.45/301,334.18 = 156,549.38/x
  3. Step 3: Cross multiply
    200,889.45x = 301,334.18 × 156,549.38
  4. Step 4: Simplify right side
    200,889.45x = 47,173,676,762.39
  5. Step 5: Solve for x
    x = 47,173,676,762.39/200,889.45
  6. Step 6: Final answer
    x = 234,824.06

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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.