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Finding the Fourth Proportional to 122,129.94, 183,195.81 and 37,888.51

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Solution

The fourth proportional to 122,129.94, 183,195.81 and 37,888.51 is: 56,833.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129.94 : 183,195.81 = 37,888.51 : x
  2. Step 2: Convert to fraction form
    122,129.94/183,195.81 = 37,888.51/x
  3. Step 3: Cross multiply
    122,129.94x = 183,195.81 × 37,888.51
  4. Step 4: Simplify right side
    122,129.94x = 6,941,016,279.14
  5. Step 5: Solve for x
    x = 6,941,016,279.14/122,129.94
  6. Step 6: Final answer
    x = 56,833.04

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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.