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Finding the Fourth Proportional to 205,475.12, 308,275.68 and 184,281.20

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Solution

The fourth proportional to 205,475.12, 308,275.68 and 184,281.20 is: 276,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,475.12 : 308,275.68 = 184,281.20 : x
  2. Step 2: Convert to fraction form
    205,475.12/308,275.68 = 184,281.20/x
  3. Step 3: Cross multiply
    205,475.12x = 308,275.68 × 184,281.20
  4. Step 4: Simplify right side
    205,475.12x = 56,809,412,241.22
  5. Step 5: Solve for x
    x = 56,809,412,241.22/205,475.12
  6. Step 6: Final answer
    x = 276,478.30

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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.