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Finding the Fourth Proportional to 202,053.96, 278,821.58 and 111,410.51

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Solution

The fourth proportional to 202,053.96, 278,821.58 and 111,410.51 is: 153,739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053.96 : 278,821.58 = 111,410.51 : x
  2. Step 2: Convert to fraction form
    202,053.96/278,821.58 = 111,410.51/x
  3. Step 3: Cross multiply
    202,053.96x = 278,821.58 × 111,410.51
  4. Step 4: Simplify right side
    202,053.96x = 31,063,652,475.65
  5. Step 5: Solve for x
    x = 31,063,652,475.65/202,053.96
  6. Step 6: Final answer
    x = 153,739.39

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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.