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Finding the Fourth Proportional to 213,090.90, 319,636.35 and 133,775.70

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Solution

The fourth proportional to 213,090.90, 319,636.35 and 133,775.70 is: 200,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,090.90 : 319,636.35 = 133,775.70 : x
  2. Step 2: Convert to fraction form
    213,090.90/319,636.35 = 133,775.70/x
  3. Step 3: Cross multiply
    213,090.90x = 319,636.35 × 133,775.70
  4. Step 4: Simplify right side
    213,090.90x = 42,759,576,466.70
  5. Step 5: Solve for x
    x = 42,759,576,466.70/213,090.90
  6. Step 6: Final answer
    x = 200,663.55

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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.