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Finding the Fourth Proportional to 205,060.30, 307,456.80 and 184,065.10

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Solution

The fourth proportional to 205,060.30, 307,456.80 and 184,065.10 is: 275,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,060.30 : 307,456.80 = 184,065.10 : x
  2. Step 2: Convert to fraction form
    205,060.30/307,456.80 = 184,065.10/x
  3. Step 3: Cross multiply
    205,060.30x = 307,456.80 × 184,065.10
  4. Step 4: Simplify right side
    205,060.30x = 56,592,066,637.68
  5. Step 5: Solve for x
    x = 56,592,066,637.68/205,060.30
  6. Step 6: Final answer
    x = 275,977.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.