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Finding the Fourth Proportional to 209,292.66, 313,931.93 and 90,964.01

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Solution

The fourth proportional to 209,292.66, 313,931.93 and 90,964.01 is: 136,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,292.66 : 313,931.93 = 90,964.01 : x
  2. Step 2: Convert to fraction form
    209,292.66/313,931.93 = 90,964.01/x
  3. Step 3: Cross multiply
    209,292.66x = 313,931.93 × 90,964.01
  4. Step 4: Simplify right side
    209,292.66x = 28,556,505,195.36
  5. Step 5: Solve for x
    x = 28,556,505,195.36/209,292.66
  6. Step 6: Final answer
    x = 136,442.94

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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.