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Finding the Fourth Proportional to 280,497.25, 387,114.22 and 167,320

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Solution

The fourth proportional to 280,497.25, 387,114.22 and 167,320 is: 230,918.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,497.25 : 387,114.22 = 167,320 : x
  2. Step 2: Convert to fraction form
    280,497.25/387,114.22 = 167,320/x
  3. Step 3: Cross multiply
    280,497.25x = 387,114.22 × 167,320
  4. Step 4: Simplify right side
    280,497.25x = 64,771,951,290.40
  5. Step 5: Solve for x
    x = 64,771,951,290.40/280,497.25
  6. Step 6: Final answer
    x = 230,918.31

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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.