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Finding the Fourth Proportional to 142,178.60, 213,272.22 and 48,683

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Solution

The fourth proportional to 142,178.60, 213,272.22 and 48,683 is: 73,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,178.60 : 213,272.22 = 48,683 : x
  2. Step 2: Convert to fraction form
    142,178.60/213,272.22 = 48,683/x
  3. Step 3: Cross multiply
    142,178.60x = 213,272.22 × 48,683
  4. Step 4: Simplify right side
    142,178.60x = 10,382,731,486.26
  5. Step 5: Solve for x
    x = 10,382,731,486.26/142,178.60
  6. Step 6: Final answer
    x = 73,025.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.