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Finding the Fourth Proportional to 120,393.95, 180,592.70 and 57,220.52

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Solution

The fourth proportional to 120,393.95, 180,592.70 and 57,220.52 is: 85,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,393.95 : 180,592.70 = 57,220.52 : x
  2. Step 2: Convert to fraction form
    120,393.95/180,592.70 = 57,220.52/x
  3. Step 3: Cross multiply
    120,393.95x = 180,592.70 × 57,220.52
  4. Step 4: Simplify right side
    120,393.95x = 10,333,607,013.14
  5. Step 5: Solve for x
    x = 10,333,607,013.14/120,393.95
  6. Step 6: Final answer
    x = 85,831.62

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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.