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Finding the Fourth Proportional to 202,214.21, 303,322.53 and 89,868.02

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Solution

The fourth proportional to 202,214.21, 303,322.53 and 89,868.02 is: 134,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214.21 : 303,322.53 = 89,868.02 : x
  2. Step 2: Convert to fraction form
    202,214.21/303,322.53 = 89,868.02/x
  3. Step 3: Cross multiply
    202,214.21x = 303,322.53 × 89,868.02
  4. Step 4: Simplify right side
    202,214.21x = 27,258,995,192.49
  5. Step 5: Solve for x
    x = 27,258,995,192.49/202,214.21
  6. Step 6: Final answer
    x = 134,802.57

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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.