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Finding the Fourth Proportional to 122,017.30, 183,103.71 and 51,896.50

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Solution

The fourth proportional to 122,017.30, 183,103.71 and 51,896.50 is: 77,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,017.30 : 183,103.71 = 51,896.50 : x
  2. Step 2: Convert to fraction form
    122,017.30/183,103.71 = 51,896.50/x
  3. Step 3: Cross multiply
    122,017.30x = 183,103.71 × 51,896.50
  4. Step 4: Simplify right side
    122,017.30x = 9,502,441,686.02
  5. Step 5: Solve for x
    x = 9,502,441,686.02/122,017.30
  6. Step 6: Final answer
    x = 77,877.82

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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.