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Finding the Fourth Proportional to 130,137.36, 195,074.82 and 98,907

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Solution

The fourth proportional to 130,137.36, 195,074.82 and 98,907 is: 148,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,137.36 : 195,074.82 = 98,907 : x
  2. Step 2: Convert to fraction form
    130,137.36/195,074.82 = 98,907/x
  3. Step 3: Cross multiply
    130,137.36x = 195,074.82 × 98,907
  4. Step 4: Simplify right side
    130,137.36x = 19,294,265,221.74
  5. Step 5: Solve for x
    x = 19,294,265,221.74/130,137.36
  6. Step 6: Final answer
    x = 148,260.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.