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Finding the Fourth Proportional to 202,201.68, 279,041.16 and 111,561.60

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Solution

The fourth proportional to 202,201.68, 279,041.16 and 111,561.60 is: 153,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,201.68 : 279,041.16 = 111,561.60 : x
  2. Step 2: Convert to fraction form
    202,201.68/279,041.16 = 111,561.60/x
  3. Step 3: Cross multiply
    202,201.68x = 279,041.16 × 111,561.60
  4. Step 4: Simplify right side
    202,201.68x = 31,130,278,275.46
  5. Step 5: Solve for x
    x = 31,130,278,275.46/202,201.68
  6. Step 6: Final answer
    x = 153,956.58

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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.