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Finding the Fourth Proportional to 255,082.40, 382,186.20 and 166,290.20

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Solution

The fourth proportional to 255,082.40, 382,186.20 and 166,290.20 is: 249,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,082.40 : 382,186.20 = 166,290.20 : x
  2. Step 2: Convert to fraction form
    255,082.40/382,186.20 = 166,290.20/x
  3. Step 3: Cross multiply
    255,082.40x = 382,186.20 × 166,290.20
  4. Step 4: Simplify right side
    255,082.40x = 63,553,819,635.24
  5. Step 5: Solve for x
    x = 63,553,819,635.24/255,082.40
  6. Step 6: Final answer
    x = 249,150.16

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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.