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Finding the Fourth Proportional to 202,492.85, 303,549.84 and 90,112.01

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Solution

The fourth proportional to 202,492.85, 303,549.84 and 90,112.01 is: 135,083.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,492.85 : 303,549.84 = 90,112.01 : x
  2. Step 2: Convert to fraction form
    202,492.85/303,549.84 = 90,112.01/x
  3. Step 3: Cross multiply
    202,492.85x = 303,549.84 × 90,112.01
  4. Step 4: Simplify right side
    202,492.85x = 27,353,484,699.83
  5. Step 5: Solve for x
    x = 27,353,484,699.83/202,492.85
  6. Step 6: Final answer
    x = 135,083.71

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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.