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Finding the Fourth Proportional to 202,797.81, 304,203.78 and 69,677.10

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Solution

The fourth proportional to 202,797.81, 304,203.78 and 69,677.10 is: 104,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,797.81 : 304,203.78 = 69,677.10 : x
  2. Step 2: Convert to fraction form
    202,797.81/304,203.78 = 69,677.10/x
  3. Step 3: Cross multiply
    202,797.81x = 304,203.78 × 69,677.10
  4. Step 4: Simplify right side
    202,797.81x = 21,196,037,199.44
  5. Step 5: Solve for x
    x = 21,196,037,199.44/202,797.81
  6. Step 6: Final answer
    x = 104,518.08

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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.