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Finding the Fourth Proportional to 266,045.32, 367,150.28 and 145,194.38

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Solution

The fourth proportional to 266,045.32, 367,150.28 and 145,194.38 is: 200,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,045.32 : 367,150.28 = 145,194.38 : x
  2. Step 2: Convert to fraction form
    266,045.32/367,150.28 = 145,194.38/x
  3. Step 3: Cross multiply
    266,045.32x = 367,150.28 × 145,194.38
  4. Step 4: Simplify right side
    266,045.32x = 53,308,157,271.43
  5. Step 5: Solve for x
    x = 53,308,157,271.43/266,045.32
  6. Step 6: Final answer
    x = 200,372.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.