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Finding the Fourth Proportional to 122,484.60, 183,726.90 and 105,863.40

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Solution

The fourth proportional to 122,484.60, 183,726.90 and 105,863.40 is: 158,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,484.60 : 183,726.90 = 105,863.40 : x
  2. Step 2: Convert to fraction form
    122,484.60/183,726.90 = 105,863.40/x
  3. Step 3: Cross multiply
    122,484.60x = 183,726.90 × 105,863.40
  4. Step 4: Simplify right side
    122,484.60x = 19,449,954,305.46
  5. Step 5: Solve for x
    x = 19,449,954,305.46/122,484.60
  6. Step 6: Final answer
    x = 158,795.10

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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.