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Finding the Fourth Proportional to 202,031.14, 303,048.22 and 89,681.14

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Solution

The fourth proportional to 202,031.14, 303,048.22 and 89,681.14 is: 134,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,031.14 : 303,048.22 = 89,681.14 : x
  2. Step 2: Convert to fraction form
    202,031.14/303,048.22 = 89,681.14/x
  3. Step 3: Cross multiply
    202,031.14x = 303,048.22 × 89,681.14
  4. Step 4: Simplify right side
    202,031.14x = 27,177,709,844.57
  5. Step 5: Solve for x
    x = 27,177,709,844.57/202,031.14
  6. Step 6: Final answer
    x = 134,522.38

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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.