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Finding the Fourth Proportional to 266,106.42, 367,223.85 and 145,246.77

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Solution

The fourth proportional to 266,106.42, 367,223.85 and 145,246.77 is: 200,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,106.42 : 367,223.85 = 145,246.77 : x
  2. Step 2: Convert to fraction form
    266,106.42/367,223.85 = 145,246.77/x
  3. Step 3: Cross multiply
    266,106.42x = 367,223.85 × 145,246.77
  4. Step 4: Simplify right side
    266,106.42x = 53,338,078,079.46
  5. Step 5: Solve for x
    x = 53,338,078,079.46/266,106.42
  6. Step 6: Final answer
    x = 200,438.90

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