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Finding the Fourth Proportional to 280,875.31, 387,580.07 and 160,009.39

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Solution

The fourth proportional to 280,875.31, 387,580.07 and 160,009.39 is: 220,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,875.31 : 387,580.07 = 160,009.39 : x
  2. Step 2: Convert to fraction form
    280,875.31/387,580.07 = 160,009.39/x
  3. Step 3: Cross multiply
    280,875.31x = 387,580.07 × 160,009.39
  4. Step 4: Simplify right side
    280,875.31x = 62,016,450,576.86
  5. Step 5: Solve for x
    x = 62,016,450,576.86/280,875.31
  6. Step 6: Final answer
    x = 220,797.09

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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.