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Finding the Fourth Proportional to 253,902.96, 380,907.84 and 96,127.92

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Solution

The fourth proportional to 253,902.96, 380,907.84 and 96,127.92 is: 144,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,902.96 : 380,907.84 = 96,127.92 : x
  2. Step 2: Convert to fraction form
    253,902.96/380,907.84 = 96,127.92/x
  3. Step 3: Cross multiply
    253,902.96x = 380,907.84 × 96,127.92
  4. Step 4: Simplify right side
    253,902.96x = 36,615,878,370.89
  5. Step 5: Solve for x
    x = 36,615,878,370.89/253,902.96
  6. Step 6: Final answer
    x = 144,212.10

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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.