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Finding the Fourth Proportional to 142,985.25, 214,477.88 and 49,491

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Solution

The fourth proportional to 142,985.25, 214,477.88 and 49,491 is: 74,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,985.25 : 214,477.88 = 49,491 : x
  2. Step 2: Convert to fraction form
    142,985.25/214,477.88 = 49,491/x
  3. Step 3: Cross multiply
    142,985.25x = 214,477.88 × 49,491
  4. Step 4: Simplify right side
    142,985.25x = 10,614,724,511.63
  5. Step 5: Solve for x
    x = 10,614,724,511.63/142,985.25
  6. Step 6: Final answer
    x = 74,236.50

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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.