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Finding the Fourth Proportional to 218,465.94, 301,576.11 and 146,887.68

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Solution

The fourth proportional to 218,465.94, 301,576.11 and 146,887.68 is: 202,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,465.94 : 301,576.11 = 146,887.68 : x
  2. Step 2: Convert to fraction form
    218,465.94/301,576.11 = 146,887.68/x
  3. Step 3: Cross multiply
    218,465.94x = 301,576.11 × 146,887.68
  4. Step 4: Simplify right side
    218,465.94x = 44,297,815,141.32
  5. Step 5: Solve for x
    x = 44,297,815,141.32/218,465.94
  6. Step 6: Final answer
    x = 202,767.60

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Why These Related Problems?

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