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Finding the Fourth Proportional to 202,547.94, 303,858.81 and 69,441.66

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Solution

The fourth proportional to 202,547.94, 303,858.81 and 69,441.66 is: 104,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,547.94 : 303,858.81 = 69,441.66 : x
  2. Step 2: Convert to fraction form
    202,547.94/303,858.81 = 69,441.66/x
  3. Step 3: Cross multiply
    202,547.94x = 303,858.81 × 69,441.66
  4. Step 4: Simplify right side
    202,547.94x = 21,100,460,172.02
  5. Step 5: Solve for x
    x = 21,100,460,172.02/202,547.94
  6. Step 6: Final answer
    x = 104,175.14

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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.