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Finding the Fourth Proportional to 202,222, 279,062.24 and 111,574.64

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Solution

The fourth proportional to 202,222, 279,062.24 and 111,574.64 is: 153,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,222 : 279,062.24 = 111,574.64 : x
  2. Step 2: Convert to fraction form
    202,222/279,062.24 = 111,574.64/x
  3. Step 3: Cross multiply
    202,222x = 279,062.24 × 111,574.64
  4. Step 4: Simplify right side
    202,222x = 31,136,268,965.59
  5. Step 5: Solve for x
    x = 31,136,268,965.59/202,222
  6. Step 6: Final answer
    x = 153,970.73

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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.