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Finding the Fourth Proportional to 202,046, 278,943.08 and 179,628.08

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Solution

The fourth proportional to 202,046, 278,943.08 and 179,628.08 is: 247,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,046 : 278,943.08 = 179,628.08 : x
  2. Step 2: Convert to fraction form
    202,046/278,943.08 = 179,628.08/x
  3. Step 3: Cross multiply
    202,046x = 278,943.08 × 179,628.08
  4. Step 4: Simplify right side
    202,046x = 50,106,009,889.69
  5. Step 5: Solve for x
    x = 50,106,009,889.69/202,046
  6. Step 6: Final answer
    x = 247,993.08

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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.