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Finding the Fourth Proportional to 280,566.10, 387,181.21 and 153,242

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Solution

The fourth proportional to 280,566.10, 387,181.21 and 153,242 is: 211,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,566.10 : 387,181.21 = 153,242 : x
  2. Step 2: Convert to fraction form
    280,566.10/387,181.21 = 153,242/x
  3. Step 3: Cross multiply
    280,566.10x = 387,181.21 × 153,242
  4. Step 4: Simplify right side
    280,566.10x = 59,332,422,982.82
  5. Step 5: Solve for x
    x = 59,332,422,982.82/280,566.10
  6. Step 6: Final answer
    x = 211,473.96

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