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Finding the Fourth Proportional to 334,735.39, 502,102.98 and 98,078

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Solution

The fourth proportional to 334,735.39, 502,102.98 and 98,078 is: 147,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,735.39 : 502,102.98 = 98,078 : x
  2. Step 2: Convert to fraction form
    334,735.39/502,102.98 = 98,078/x
  3. Step 3: Cross multiply
    334,735.39x = 502,102.98 × 98,078
  4. Step 4: Simplify right side
    334,735.39x = 49,245,256,072.44
  5. Step 5: Solve for x
    x = 49,245,256,072.44/334,735.39
  6. Step 6: Final answer
    x = 147,116.97

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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.