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Finding the Fourth Proportional to 180,130.89, 269,822.67 and 105,023.23

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Solution

The fourth proportional to 180,130.89, 269,822.67 and 105,023.23 is: 157,316.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,130.89 : 269,822.67 = 105,023.23 : x
  2. Step 2: Convert to fraction form
    180,130.89/269,822.67 = 105,023.23/x
  3. Step 3: Cross multiply
    180,130.89x = 269,822.67 × 105,023.23
  4. Step 4: Simplify right side
    180,130.89x = 28,337,648,330.62
  5. Step 5: Solve for x
    x = 28,337,648,330.62/180,130.89
  6. Step 6: Final answer
    x = 157,316.98

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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.