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Finding the Fourth Proportional to 201,095.60, 301,682.27 and 76,426.88

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Solution

The fourth proportional to 201,095.60, 301,682.27 and 76,426.88 is: 114,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,095.60 : 301,682.27 = 76,426.88 : x
  2. Step 2: Convert to fraction form
    201,095.60/301,682.27 = 76,426.88/x
  3. Step 3: Cross multiply
    201,095.60x = 301,682.27 × 76,426.88
  4. Step 4: Simplify right side
    201,095.60x = 23,056,633,330.07
  5. Step 5: Solve for x
    x = 23,056,633,330.07/201,095.60
  6. Step 6: Final answer
    x = 114,655.09

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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.