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Finding the Fourth Proportional to 198,290.36, 297,435.53 and 58,048.98

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Solution

The fourth proportional to 198,290.36, 297,435.53 and 58,048.98 is: 87,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,290.36 : 297,435.53 = 58,048.98 : x
  2. Step 2: Convert to fraction form
    198,290.36/297,435.53 = 58,048.98/x
  3. Step 3: Cross multiply
    198,290.36x = 297,435.53 × 58,048.98
  4. Step 4: Simplify right side
    198,290.36x = 17,265,828,842.01
  5. Step 5: Solve for x
    x = 17,265,828,842.01/198,290.36
  6. Step 6: Final answer
    x = 87,073.47

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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.