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Finding the Fourth Proportional to 202,959.37, 304,432.75 and 96,420

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Solution

The fourth proportional to 202,959.37, 304,432.75 and 96,420 is: 144,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,959.37 : 304,432.75 = 96,420 : x
  2. Step 2: Convert to fraction form
    202,959.37/304,432.75 = 96,420/x
  3. Step 3: Cross multiply
    202,959.37x = 304,432.75 × 96,420
  4. Step 4: Simplify right side
    202,959.37x = 29,353,405,755
  5. Step 5: Solve for x
    x = 29,353,405,755/202,959.37
  6. Step 6: Final answer
    x = 144,627.00

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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.