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Finding the Fourth Proportional to 120,242.34, 180,243.36 and 56,950.02

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Solution

The fourth proportional to 120,242.34, 180,243.36 and 56,950.02 is: 85,368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,242.34 : 180,243.36 = 56,950.02 : x
  2. Step 2: Convert to fraction form
    120,242.34/180,243.36 = 56,950.02/x
  3. Step 3: Cross multiply
    120,242.34x = 180,243.36 × 56,950.02
  4. Step 4: Simplify right side
    120,242.34x = 10,264,862,956.87
  5. Step 5: Solve for x
    x = 10,264,862,956.87/120,242.34
  6. Step 6: Final answer
    x = 85,368.12

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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.