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Finding the Fourth Proportional to 184,256.09, 254,271.74 and 103,682

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Solution

The fourth proportional to 184,256.09, 254,271.74 and 103,682 is: 143,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,256.09 : 254,271.74 = 103,682 : x
  2. Step 2: Convert to fraction form
    184,256.09/254,271.74 = 103,682/x
  3. Step 3: Cross multiply
    184,256.09x = 254,271.74 × 103,682
  4. Step 4: Simplify right side
    184,256.09x = 26,363,402,546.68
  5. Step 5: Solve for x
    x = 26,363,402,546.68/184,256.09
  6. Step 6: Final answer
    x = 143,080.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.