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Finding the Fourth Proportional to 201,298.37, 301,948.83 and 59,143.05

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Solution

The fourth proportional to 201,298.37, 301,948.83 and 59,143.05 is: 88,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,298.37 : 301,948.83 = 59,143.05 : x
  2. Step 2: Convert to fraction form
    201,298.37/301,948.83 = 59,143.05/x
  3. Step 3: Cross multiply
    201,298.37x = 301,948.83 × 59,143.05
  4. Step 4: Simplify right side
    201,298.37x = 17,858,174,750.13
  5. Step 5: Solve for x
    x = 17,858,174,750.13/201,298.37
  6. Step 6: Final answer
    x = 88,714.95

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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.