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Finding the Fourth Proportional to 141,167, 211,750.50 and 42,671

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Solution

The fourth proportional to 141,167, 211,750.50 and 42,671 is: 64,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,167 : 211,750.50 = 42,671 : x
  2. Step 2: Convert to fraction form
    141,167/211,750.50 = 42,671/x
  3. Step 3: Cross multiply
    141,167x = 211,750.50 × 42,671
  4. Step 4: Simplify right side
    141,167x = 9,035,605,585.50
  5. Step 5: Solve for x
    x = 9,035,605,585.50/141,167
  6. Step 6: Final answer
    x = 64,006.50

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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.