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Finding the Fourth Proportional to 122,557.70, 183,836.69 and 38,318.30

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Solution

The fourth proportional to 122,557.70, 183,836.69 and 38,318.30 is: 57,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,557.70 : 183,836.69 = 38,318.30 : x
  2. Step 2: Convert to fraction form
    122,557.70/183,836.69 = 38,318.30/x
  3. Step 3: Cross multiply
    122,557.70x = 183,836.69 × 38,318.30
  4. Step 4: Simplify right side
    122,557.70x = 7,044,309,993.81
  5. Step 5: Solve for x
    x = 7,044,309,993.81/122,557.70
  6. Step 6: Final answer
    x = 57,477.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.