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Finding the Fourth Proportional to 255,106.40, 382,222.20 and 166,314.20

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Solution

The fourth proportional to 255,106.40, 382,222.20 and 166,314.20 is: 249,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,106.40 : 382,222.20 = 166,314.20 : x
  2. Step 2: Convert to fraction form
    255,106.40/382,222.20 = 166,314.20/x
  3. Step 3: Cross multiply
    255,106.40x = 382,222.20 × 166,314.20
  4. Step 4: Simplify right side
    255,106.40x = 63,568,979,415.24
  5. Step 5: Solve for x
    x = 63,568,979,415.24/255,106.40
  6. Step 6: Final answer
    x = 249,186.14

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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.