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Finding the Fourth Proportional to 120,133.48, 180,197.79 and 35,893.90

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Solution

The fourth proportional to 120,133.48, 180,197.79 and 35,893.90 is: 53,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,133.48 : 180,197.79 = 35,893.90 : x
  2. Step 2: Convert to fraction form
    120,133.48/180,197.79 = 35,893.90/x
  3. Step 3: Cross multiply
    120,133.48x = 180,197.79 × 35,893.90
  4. Step 4: Simplify right side
    120,133.48x = 6,468,001,454.48
  5. Step 5: Solve for x
    x = 6,468,001,454.48/120,133.48
  6. Step 6: Final answer
    x = 53,840.12

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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.