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Finding the Fourth Proportional to 213,157.30, 319,735.98 and 108,006.34

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Solution

The fourth proportional to 213,157.30, 319,735.98 and 108,006.34 is: 162,009.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,157.30 : 319,735.98 = 108,006.34 : x
  2. Step 2: Convert to fraction form
    213,157.30/319,735.98 = 108,006.34/x
  3. Step 3: Cross multiply
    213,157.30x = 319,735.98 × 108,006.34
  4. Step 4: Simplify right side
    213,157.30x = 34,533,512,966.11
  5. Step 5: Solve for x
    x = 34,533,512,966.11/213,157.30
  6. Step 6: Final answer
    x = 162,009.53

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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.