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Finding the Fourth Proportional to 229,075.54, 343,727.75 and 102,806.06

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Solution

The fourth proportional to 229,075.54, 343,727.75 and 102,806.06 is: 154,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,075.54 : 343,727.75 = 102,806.06 : x
  2. Step 2: Convert to fraction form
    229,075.54/343,727.75 = 102,806.06/x
  3. Step 3: Cross multiply
    229,075.54x = 343,727.75 × 102,806.06
  4. Step 4: Simplify right side
    229,075.54x = 35,337,296,162.01
  5. Step 5: Solve for x
    x = 35,337,296,162.01/229,075.54
  6. Step 6: Final answer
    x = 154,260.45

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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.