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Finding the Fourth Proportional to 176,559.30, 264,799.02 and 50,196.74

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Solution

The fourth proportional to 176,559.30, 264,799.02 and 50,196.74 is: 75,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,559.30 : 264,799.02 = 50,196.74 : x
  2. Step 2: Convert to fraction form
    176,559.30/264,799.02 = 50,196.74/x
  3. Step 3: Cross multiply
    176,559.30x = 264,799.02 × 50,196.74
  4. Step 4: Simplify right side
    176,559.30x = 13,292,047,559.19
  5. Step 5: Solve for x
    x = 13,292,047,559.19/176,559.30
  6. Step 6: Final answer
    x = 75,283.76

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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.