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Finding the Fourth Proportional to 190,904.82, 286,367.13 and 48,751.44

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Solution

The fourth proportional to 190,904.82, 286,367.13 and 48,751.44 is: 73,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,904.82 : 286,367.13 = 48,751.44 : x
  2. Step 2: Convert to fraction form
    190,904.82/286,367.13 = 48,751.44/x
  3. Step 3: Cross multiply
    190,904.82x = 286,367.13 × 48,751.44
  4. Step 4: Simplify right side
    190,904.82x = 13,960,809,956.17
  5. Step 5: Solve for x
    x = 13,960,809,956.17/190,904.82
  6. Step 6: Final answer
    x = 73,129.69

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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.