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Finding the Fourth Proportional to 259,096.32, 388,696.32 and 92,897.28

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Solution

The fourth proportional to 259,096.32, 388,696.32 and 92,897.28 is: 139,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,096.32 : 388,696.32 = 92,897.28 : x
  2. Step 2: Convert to fraction form
    259,096.32/388,696.32 = 92,897.28/x
  3. Step 3: Cross multiply
    259,096.32x = 388,696.32 × 92,897.28
  4. Step 4: Simplify right side
    259,096.32x = 36,108,830,874.01
  5. Step 5: Solve for x
    x = 36,108,830,874.01/259,096.32
  6. Step 6: Final answer
    x = 139,364.51

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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.