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Finding the Fourth Proportional to 202,166.19, 278,973.84 and 111,525.57

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Solution

The fourth proportional to 202,166.19, 278,973.84 and 111,525.57 is: 153,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166.19 : 278,973.84 = 111,525.57 : x
  2. Step 2: Convert to fraction form
    202,166.19/278,973.84 = 111,525.57/x
  3. Step 3: Cross multiply
    202,166.19x = 278,973.84 × 111,525.57
  4. Step 4: Simplify right side
    202,166.19x = 31,112,716,521.09
  5. Step 5: Solve for x
    x = 31,112,716,521.09/202,166.19
  6. Step 6: Final answer
    x = 153,896.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.