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Finding the Fourth Proportional to 120,058.98, 180,098.70 and 35,813.70

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Solution

The fourth proportional to 120,058.98, 180,098.70 and 35,813.70 is: 53,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,058.98 : 180,098.70 = 35,813.70 : x
  2. Step 2: Convert to fraction form
    120,058.98/180,098.70 = 35,813.70/x
  3. Step 3: Cross multiply
    120,058.98x = 180,098.70 × 35,813.70
  4. Step 4: Simplify right side
    120,058.98x = 6,450,000,812.19
  5. Step 5: Solve for x
    x = 6,450,000,812.19/120,058.98
  6. Step 6: Final answer
    x = 53,723.60

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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.