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Finding the Fourth Proportional to 120,615.23, 180,929.90 and 40,646.50

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Solution

The fourth proportional to 120,615.23, 180,929.90 and 40,646.50 is: 60,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,615.23 : 180,929.90 = 40,646.50 : x
  2. Step 2: Convert to fraction form
    120,615.23/180,929.90 = 40,646.50/x
  3. Step 3: Cross multiply
    120,615.23x = 180,929.90 × 40,646.50
  4. Step 4: Simplify right side
    120,615.23x = 7,354,166,829.64
  5. Step 5: Solve for x
    x = 7,354,166,829.64/120,615.23
  6. Step 6: Final answer
    x = 60,972.12

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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.