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Finding the Fourth Proportional to 253,783.08, 380,678.94 and 96,085.80

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Solution

The fourth proportional to 253,783.08, 380,678.94 and 96,085.80 is: 144,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,783.08 : 380,678.94 = 96,085.80 : x
  2. Step 2: Convert to fraction form
    253,783.08/380,678.94 = 96,085.80/x
  3. Step 3: Cross multiply
    253,783.08x = 380,678.94 × 96,085.80
  4. Step 4: Simplify right side
    253,783.08x = 36,577,840,493.05
  5. Step 5: Solve for x
    x = 36,577,840,493.05/253,783.08
  6. Step 6: Final answer
    x = 144,130.34

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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.