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Finding the Fourth Proportional to 230,376.91, 317,881.59 and 128,380.01

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Solution

The fourth proportional to 230,376.91, 317,881.59 and 128,380.01 is: 177,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,376.91 : 317,881.59 = 128,380.01 : x
  2. Step 2: Convert to fraction form
    230,376.91/317,881.59 = 128,380.01/x
  3. Step 3: Cross multiply
    230,376.91x = 317,881.59 × 128,380.01
  4. Step 4: Simplify right side
    230,376.91x = 40,809,642,675.38
  5. Step 5: Solve for x
    x = 40,809,642,675.38/230,376.91
  6. Step 6: Final answer
    x = 177,142.94

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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.