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Finding the Fourth Proportional to 230,991, 346,486.50 and 55,887

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Solution

The fourth proportional to 230,991, 346,486.50 and 55,887 is: 83,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991 : 346,486.50 = 55,887 : x
  2. Step 2: Convert to fraction form
    230,991/346,486.50 = 55,887/x
  3. Step 3: Cross multiply
    230,991x = 346,486.50 × 55,887
  4. Step 4: Simplify right side
    230,991x = 19,364,091,025.50
  5. Step 5: Solve for x
    x = 19,364,091,025.50/230,991
  6. Step 6: Final answer
    x = 83,830.50

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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.