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Finding the Fourth Proportional to 255,102.40, 382,216.20 and 166,310.20

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Solution

The fourth proportional to 255,102.40, 382,216.20 and 166,310.20 is: 249,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,102.40 : 382,216.20 = 166,310.20 : x
  2. Step 2: Convert to fraction form
    255,102.40/382,216.20 = 166,310.20/x
  3. Step 3: Cross multiply
    255,102.40x = 382,216.20 × 166,310.20
  4. Step 4: Simplify right side
    255,102.40x = 63,566,452,665.24
  5. Step 5: Solve for x
    x = 63,566,452,665.24/255,102.40
  6. Step 6: Final answer
    x = 249,180.14

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1.5x scale

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.