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Finding the Fourth Proportional to 202,255.40, 303,492.45 and 89,952.95

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Solution

The fourth proportional to 202,255.40, 303,492.45 and 89,952.95 is: 134,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,255.40 : 303,492.45 = 89,952.95 : x
  2. Step 2: Convert to fraction form
    202,255.40/303,492.45 = 89,952.95/x
  3. Step 3: Cross multiply
    202,255.40x = 303,492.45 × 89,952.95
  4. Step 4: Simplify right side
    202,255.40x = 27,300,041,180.23
  5. Step 5: Solve for x
    x = 27,300,041,180.23/202,255.40
  6. Step 6: Final answer
    x = 134,978.06

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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.