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Finding the Fourth Proportional to 268,786, 370,916.80 and 147,927.22

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Solution

The fourth proportional to 268,786, 370,916.80 and 147,927.22 is: 204,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,786 : 370,916.80 = 147,927.22 : x
  2. Step 2: Convert to fraction form
    268,786/370,916.80 = 147,927.22/x
  3. Step 3: Cross multiply
    268,786x = 370,916.80 × 147,927.22
  4. Step 4: Simplify right side
    268,786x = 54,868,691,075.30
  5. Step 5: Solve for x
    x = 54,868,691,075.30/268,786
  6. Step 6: Final answer
    x = 204,135.23

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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.