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Finding the Fourth Proportional to 106,852.77, 160,279.16 and 27,973.76

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Solution

The fourth proportional to 106,852.77, 160,279.16 and 27,973.76 is: 41,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,852.77 : 160,279.16 = 27,973.76 : x
  2. Step 2: Convert to fraction form
    106,852.77/160,279.16 = 27,973.76/x
  3. Step 3: Cross multiply
    106,852.77x = 160,279.16 × 27,973.76
  4. Step 4: Simplify right side
    106,852.77x = 4,483,609,813.58
  5. Step 5: Solve for x
    x = 4,483,609,813.58/106,852.77
  6. Step 6: Final answer
    x = 41,960.63

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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.