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Finding the Fourth Proportional to 270,152.94, 405,102.18 and 157,865.61

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Solution

The fourth proportional to 270,152.94, 405,102.18 and 157,865.61 is: 236,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,152.94 : 405,102.18 = 157,865.61 : x
  2. Step 2: Convert to fraction form
    270,152.94/405,102.18 = 157,865.61/x
  3. Step 3: Cross multiply
    270,152.94x = 405,102.18 × 157,865.61
  4. Step 4: Simplify right side
    270,152.94x = 63,951,702,758.03
  5. Step 5: Solve for x
    x = 63,951,702,758.03/270,152.94
  6. Step 6: Final answer
    x = 236,724.07

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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.