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Finding the Fourth Proportional to 182,106.30, 273,149.70 and 55,746.60

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Solution

The fourth proportional to 182,106.30, 273,149.70 and 55,746.60 is: 83,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,106.30 : 273,149.70 = 55,746.60 : x
  2. Step 2: Convert to fraction form
    182,106.30/273,149.70 = 55,746.60/x
  3. Step 3: Cross multiply
    182,106.30x = 273,149.70 × 55,746.60
  4. Step 4: Simplify right side
    182,106.30x = 15,227,167,066.02
  5. Step 5: Solve for x
    x = 15,227,167,066.02/182,106.30
  6. Step 6: Final answer
    x = 83,616.92

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