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Finding the Fourth Proportional to 355,926.42, 533,896.29 and 166,334.76

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Solution

The fourth proportional to 355,926.42, 533,896.29 and 166,334.76 is: 249,505.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,926.42 : 533,896.29 = 166,334.76 : x
  2. Step 2: Convert to fraction form
    355,926.42/533,896.29 = 166,334.76/x
  3. Step 3: Cross multiply
    355,926.42x = 533,896.29 × 166,334.76
  4. Step 4: Simplify right side
    355,926.42x = 88,805,511,262.04
  5. Step 5: Solve for x
    x = 88,805,511,262.04/355,926.42
  6. Step 6: Final answer
    x = 249,505.25

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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.