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Finding the Fourth Proportional to 255,065.40, 382,160.70 and 166,273.20

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Solution

The fourth proportional to 255,065.40, 382,160.70 and 166,273.20 is: 249,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,065.40 : 382,160.70 = 166,273.20 : x
  2. Step 2: Convert to fraction form
    255,065.40/382,160.70 = 166,273.20/x
  3. Step 3: Cross multiply
    255,065.40x = 382,160.70 × 166,273.20
  4. Step 4: Simplify right side
    255,065.40x = 63,543,082,503.24
  5. Step 5: Solve for x
    x = 63,543,082,503.24/255,065.40
  6. Step 6: Final answer
    x = 249,124.67

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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.