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Finding the Fourth Proportional to 285,696.09, 428,409.86 and 105,657.21

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Solution

The fourth proportional to 285,696.09, 428,409.86 and 105,657.21 is: 158,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,696.09 : 428,409.86 = 105,657.21 : x
  2. Step 2: Convert to fraction form
    285,696.09/428,409.86 = 105,657.21/x
  3. Step 3: Cross multiply
    285,696.09x = 428,409.86 × 105,657.21
  4. Step 4: Simplify right side
    285,696.09x = 45,264,590,015.80
  5. Step 5: Solve for x
    x = 45,264,590,015.80/285,696.09
  6. Step 6: Final answer
    x = 158,436.16

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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.