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Finding the Fourth Proportional to 213,275.76, 319,824.30 and 86,830

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Solution

The fourth proportional to 213,275.76, 319,824.30 and 86,830 is: 130,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,275.76 : 319,824.30 = 86,830 : x
  2. Step 2: Convert to fraction form
    213,275.76/319,824.30 = 86,830/x
  3. Step 3: Cross multiply
    213,275.76x = 319,824.30 × 86,830
  4. Step 4: Simplify right side
    213,275.76x = 27,770,343,969
  5. Step 5: Solve for x
    x = 27,770,343,969/213,275.76
  6. Step 6: Final answer
    x = 130,208.63

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