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Finding the Fourth Proportional to 231,203, 346,804.50 and 64,991

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Solution

The fourth proportional to 231,203, 346,804.50 and 64,991 is: 97,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,203 : 346,804.50 = 64,991 : x
  2. Step 2: Convert to fraction form
    231,203/346,804.50 = 64,991/x
  3. Step 3: Cross multiply
    231,203x = 346,804.50 × 64,991
  4. Step 4: Simplify right side
    231,203x = 22,539,171,259.50
  5. Step 5: Solve for x
    x = 22,539,171,259.50/231,203
  6. Step 6: Final answer
    x = 97,486.50

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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.