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Finding the Fourth Proportional to 193,696.72, 290,632.80 and 98,878.04

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Solution

The fourth proportional to 193,696.72, 290,632.80 and 98,878.04 is: 148,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,696.72 : 290,632.80 = 98,878.04 : x
  2. Step 2: Convert to fraction form
    193,696.72/290,632.80 = 98,878.04/x
  3. Step 3: Cross multiply
    193,696.72x = 290,632.80 × 98,878.04
  4. Step 4: Simplify right side
    193,696.72x = 28,737,201,623.71
  5. Step 5: Solve for x
    x = 28,737,201,623.71/193,696.72
  6. Step 6: Final answer
    x = 148,361.84

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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.