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Finding the Fourth Proportional to 213,169.46, 319,566.02 and 86,915.30

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Solution

The fourth proportional to 213,169.46, 319,566.02 and 86,915.30 is: 130,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,169.46 : 319,566.02 = 86,915.30 : x
  2. Step 2: Convert to fraction form
    213,169.46/319,566.02 = 86,915.30/x
  3. Step 3: Cross multiply
    213,169.46x = 319,566.02 × 86,915.30
  4. Step 4: Simplify right side
    213,169.46x = 27,775,176,498.11
  5. Step 5: Solve for x
    x = 27,775,176,498.11/213,169.46
  6. Step 6: Final answer
    x = 130,296.23

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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.