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Finding the Fourth Proportional to 110,281.40, 165,443.70 and 47,101.40

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Solution

The fourth proportional to 110,281.40, 165,443.70 and 47,101.40 is: 70,661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,281.40 : 165,443.70 = 47,101.40 : x
  2. Step 2: Convert to fraction form
    110,281.40/165,443.70 = 47,101.40/x
  3. Step 3: Cross multiply
    110,281.40x = 165,443.70 × 47,101.40
  4. Step 4: Simplify right side
    110,281.40x = 7,792,629,891.18
  5. Step 5: Solve for x
    x = 7,792,629,891.18/110,281.40
  6. Step 6: Final answer
    x = 70,661.33

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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.