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Finding the Fourth Proportional to 122,534.73, 183,671.42 and 69,830.73

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Solution

The fourth proportional to 122,534.73, 183,671.42 and 69,830.73 is: 104,671.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,534.73 : 183,671.42 = 69,830.73 : x
  2. Step 2: Convert to fraction form
    122,534.73/183,671.42 = 69,830.73/x
  3. Step 3: Cross multiply
    122,534.73x = 183,671.42 × 69,830.73
  4. Step 4: Simplify right side
    122,534.73x = 12,825,908,989.58
  5. Step 5: Solve for x
    x = 12,825,908,989.58/122,534.73
  6. Step 6: Final answer
    x = 104,671.62

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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.