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Finding the Fourth Proportional to 130,020.10, 195,020.42 and 46,914.10

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Solution

The fourth proportional to 130,020.10, 195,020.42 and 46,914.10 is: 70,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,020.10 : 195,020.42 = 46,914.10 : x
  2. Step 2: Convert to fraction form
    130,020.10/195,020.42 = 46,914.10/x
  3. Step 3: Cross multiply
    130,020.10x = 195,020.42 × 46,914.10
  4. Step 4: Simplify right side
    130,020.10x = 9,149,207,485.92
  5. Step 5: Solve for x
    x = 9,149,207,485.92/130,020.10
  6. Step 6: Final answer
    x = 70,367.64

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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.