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Finding the Fourth Proportional to 106,093.80, 158,980.32 and 70,970.58

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Solution

The fourth proportional to 106,093.80, 158,980.32 and 70,970.58 is: 106,348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,093.80 : 158,980.32 = 70,970.58 : x
  2. Step 2: Convert to fraction form
    106,093.80/158,980.32 = 70,970.58/x
  3. Step 3: Cross multiply
    106,093.80x = 158,980.32 × 70,970.58
  4. Step 4: Simplify right side
    106,093.80x = 11,282,925,518.99
  5. Step 5: Solve for x
    x = 11,282,925,518.99/106,093.80
  6. Step 6: Final answer
    x = 106,348.59

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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.