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Finding the Fourth Proportional to 205,783.09, 310,217.01 and 192,066.49

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Solution

The fourth proportional to 205,783.09, 310,217.01 and 192,066.49 is: 289,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,783.09 : 310,217.01 = 192,066.49 : x
  2. Step 2: Convert to fraction form
    205,783.09/310,217.01 = 192,066.49/x
  3. Step 3: Cross multiply
    205,783.09x = 310,217.01 × 192,066.49
  4. Step 4: Simplify right side
    205,783.09x = 59,582,291,916.52
  5. Step 5: Solve for x
    x = 59,582,291,916.52/205,783.09
  6. Step 6: Final answer
    x = 289,539.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.