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Finding the Fourth Proportional to 229,881.63, 317,231.67 and 133,089.57

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Solution

The fourth proportional to 229,881.63, 317,231.67 and 133,089.57 is: 183,660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,881.63 : 317,231.67 = 133,089.57 : x
  2. Step 2: Convert to fraction form
    229,881.63/317,231.67 = 133,089.57/x
  3. Step 3: Cross multiply
    229,881.63x = 317,231.67 × 133,089.57
  4. Step 4: Simplify right side
    229,881.63x = 42,220,224,964.52
  5. Step 5: Solve for x
    x = 42,220,224,964.52/229,881.63
  6. Step 6: Final answer
    x = 183,660.72

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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.