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Finding the Fourth Proportional to 213,130.19, 319,702.14 and 111,902.60

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Solution

The fourth proportional to 213,130.19, 319,702.14 and 111,902.60 is: 167,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,130.19 : 319,702.14 = 111,902.60 : x
  2. Step 2: Convert to fraction form
    213,130.19/319,702.14 = 111,902.60/x
  3. Step 3: Cross multiply
    213,130.19x = 319,702.14 × 111,902.60
  4. Step 4: Simplify right side
    213,130.19x = 35,775,499,093.05
  5. Step 5: Solve for x
    x = 35,775,499,093.05/213,130.19
  6. Step 6: Final answer
    x = 167,857.50

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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.