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Finding the Fourth Proportional to 141,173, 211,759.50 and 42,677

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Solution

The fourth proportional to 141,173, 211,759.50 and 42,677 is: 64,015.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,173 : 211,759.50 = 42,677 : x
  2. Step 2: Convert to fraction form
    141,173/211,759.50 = 42,677/x
  3. Step 3: Cross multiply
    141,173x = 211,759.50 × 42,677
  4. Step 4: Simplify right side
    141,173x = 9,037,260,181.50
  5. Step 5: Solve for x
    x = 9,037,260,181.50/141,173
  6. Step 6: Final answer
    x = 64,015.50

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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.