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Finding the Fourth Proportional to 188,460, 282,690.48 and 57,132

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Solution

The fourth proportional to 188,460, 282,690.48 and 57,132 is: 85,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,460 : 282,690.48 = 57,132 : x
  2. Step 2: Convert to fraction form
    188,460/282,690.48 = 57,132/x
  3. Step 3: Cross multiply
    188,460x = 282,690.48 × 57,132
  4. Step 4: Simplify right side
    188,460x = 16,150,672,503.36
  5. Step 5: Solve for x
    x = 16,150,672,503.36/188,460
  6. Step 6: Final answer
    x = 85,698.15

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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.