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Finding the Fourth Proportional to 202,901.45, 304,264.01 and 96,315.95

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Solution

The fourth proportional to 202,901.45, 304,264.01 and 96,315.95 is: 144,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,901.45 : 304,264.01 = 96,315.95 : x
  2. Step 2: Convert to fraction form
    202,901.45/304,264.01 = 96,315.95/x
  3. Step 3: Cross multiply
    202,901.45x = 304,264.01 × 96,315.95
  4. Step 4: Simplify right side
    202,901.45x = 29,305,478,175.41
  5. Step 5: Solve for x
    x = 29,305,478,175.41/202,901.45
  6. Step 6: Final answer
    x = 144,432.08

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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.