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Finding the Fourth Proportional to 229,884.63, 317,235.81 and 133,092.57

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Solution

The fourth proportional to 229,884.63, 317,235.81 and 133,092.57 is: 183,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,884.63 : 317,235.81 = 133,092.57 : x
  2. Step 2: Convert to fraction form
    229,884.63/317,235.81 = 133,092.57/x
  3. Step 3: Cross multiply
    229,884.63x = 317,235.81 × 133,092.57
  4. Step 4: Simplify right side
    229,884.63x = 42,221,729,248.93
  5. Step 5: Solve for x
    x = 42,221,729,248.93/229,884.63
  6. Step 6: Final answer
    x = 183,664.86

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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.