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Finding the Fourth Proportional to 202,998.77, 304,528.90 and 147,259.48

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Solution

The fourth proportional to 202,998.77, 304,528.90 and 147,259.48 is: 220,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,998.77 : 304,528.90 = 147,259.48 : x
  2. Step 2: Convert to fraction form
    202,998.77/304,528.90 = 147,259.48/x
  3. Step 3: Cross multiply
    202,998.77x = 304,528.90 × 147,259.48
  4. Step 4: Simplify right side
    202,998.77x = 44,844,767,458.97
  5. Step 5: Solve for x
    x = 44,844,767,458.97/202,998.77
  6. Step 6: Final answer
    x = 220,911.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.