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Finding the Fourth Proportional to 151,176, 226,773.36 and 46,002.72

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Solution

The fourth proportional to 151,176, 226,773.36 and 46,002.72 is: 69,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,176 : 226,773.36 = 46,002.72 : x
  2. Step 2: Convert to fraction form
    151,176/226,773.36 = 46,002.72/x
  3. Step 3: Cross multiply
    151,176x = 226,773.36 × 46,002.72
  4. Step 4: Simplify right side
    151,176x = 10,432,191,383.54
  5. Step 5: Solve for x
    x = 10,432,191,383.54/151,176
  6. Step 6: Final answer
    x = 69,006.93

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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.