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Finding the Fourth Proportional to 229,890, 344,287.80 and 117,293.52

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Solution

The fourth proportional to 229,890, 344,287.80 and 117,293.52 is: 175,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,890 : 344,287.80 = 117,293.52 : x
  2. Step 2: Convert to fraction form
    229,890/344,287.80 = 117,293.52/x
  3. Step 3: Cross multiply
    229,890x = 344,287.80 × 117,293.52
  4. Step 4: Simplify right side
    229,890x = 40,382,727,955.06
  5. Step 5: Solve for x
    x = 40,382,727,955.06/229,890
  6. Step 6: Final answer
    x = 175,661.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.