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Finding the Fourth Proportional to 266,263.94, 367,445.14 and 145,406.54

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Solution

The fourth proportional to 266,263.94, 367,445.14 and 145,406.54 is: 200,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,263.94 : 367,445.14 = 145,406.54 : x
  2. Step 2: Convert to fraction form
    266,263.94/367,445.14 = 145,406.54/x
  3. Step 3: Cross multiply
    266,263.94x = 367,445.14 × 145,406.54
  4. Step 4: Simplify right side
    266,263.94x = 53,428,926,447.22
  5. Step 5: Solve for x
    x = 53,428,926,447.22/266,263.94
  6. Step 6: Final answer
    x = 200,661.52

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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.