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Finding the Fourth Proportional to 151,392, 227,083.68 and 46,195.68

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Solution

The fourth proportional to 151,392, 227,083.68 and 46,195.68 is: 69,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,392 : 227,083.68 = 46,195.68 : x
  2. Step 2: Convert to fraction form
    151,392/227,083.68 = 46,195.68/x
  3. Step 3: Cross multiply
    151,392x = 227,083.68 × 46,195.68
  4. Step 4: Simplify right side
    151,392x = 10,490,285,014.50
  5. Step 5: Solve for x
    x = 10,490,285,014.50/151,392
  6. Step 6: Final answer
    x = 69,292.20

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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.