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Finding the Fourth Proportional to 182,054.64, 273,081.56 and 48,934.90

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Solution

The fourth proportional to 182,054.64, 273,081.56 and 48,934.90 is: 73,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,054.64 : 273,081.56 = 48,934.90 : x
  2. Step 2: Convert to fraction form
    182,054.64/273,081.56 = 48,934.90/x
  3. Step 3: Cross multiply
    182,054.64x = 273,081.56 × 48,934.90
  4. Step 4: Simplify right side
    182,054.64x = 13,363,217,903.07
  5. Step 5: Solve for x
    x = 13,363,217,903.07/182,054.64
  6. Step 6: Final answer
    x = 73,402.24

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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.