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Finding the Fourth Proportional to 280,316.97, 386,881.72 and 178,236.01

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Solution

The fourth proportional to 280,316.97, 386,881.72 and 178,236.01 is: 245,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,316.97 : 386,881.72 = 178,236.01 : x
  2. Step 2: Convert to fraction form
    280,316.97/386,881.72 = 178,236.01/x
  3. Step 3: Cross multiply
    280,316.97x = 386,881.72 × 178,236.01
  4. Step 4: Simplify right side
    280,316.97x = 68,956,254,152.75
  5. Step 5: Solve for x
    x = 68,956,254,152.75/280,316.97
  6. Step 6: Final answer
    x = 245,993.86

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Why These Related Problems?

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