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Finding the Fourth Proportional to 180,141.13, 270,211.70 and 47,020.23

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Solution

The fourth proportional to 180,141.13, 270,211.70 and 47,020.23 is: 70,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,141.13 : 270,211.70 = 47,020.23 : x
  2. Step 2: Convert to fraction form
    180,141.13/270,211.70 = 47,020.23/x
  3. Step 3: Cross multiply
    180,141.13x = 270,211.70 × 47,020.23
  4. Step 4: Simplify right side
    180,141.13x = 12,705,416,282.69
  5. Step 5: Solve for x
    x = 12,705,416,282.69/180,141.13
  6. Step 6: Final answer
    x = 70,530.35

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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.