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Finding the Fourth Proportional to 231,908.16, 320,677.47 and 184,078.47

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Solution

The fourth proportional to 231,908.16, 320,677.47 and 184,078.47 is: 254,539.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,908.16 : 320,677.47 = 184,078.47 : x
  2. Step 2: Convert to fraction form
    231,908.16/320,677.47 = 184,078.47/x
  3. Step 3: Cross multiply
    231,908.16x = 320,677.47 × 184,078.47
  4. Step 4: Simplify right side
    231,908.16x = 59,029,818,041.07
  5. Step 5: Solve for x
    x = 59,029,818,041.07/231,908.16
  6. Step 6: Final answer
    x = 254,539.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.