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Finding the Fourth Proportional to 120,305.16, 180,456.93 and 94,032

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Solution

The fourth proportional to 120,305.16, 180,456.93 and 94,032 is: 141,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,305.16 : 180,456.93 = 94,032 : x
  2. Step 2: Convert to fraction form
    120,305.16/180,456.93 = 94,032/x
  3. Step 3: Cross multiply
    120,305.16x = 180,456.93 × 94,032
  4. Step 4: Simplify right side
    120,305.16x = 16,968,726,041.76
  5. Step 5: Solve for x
    x = 16,968,726,041.76/120,305.16
  6. Step 6: Final answer
    x = 141,047.37

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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.