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Finding the Fourth Proportional to 116,236, 174,379.92 and 42,364

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Solution

The fourth proportional to 116,236, 174,379.92 and 42,364 is: 63,555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,236 : 174,379.92 = 42,364 : x
  2. Step 2: Convert to fraction form
    116,236/174,379.92 = 42,364/x
  3. Step 3: Cross multiply
    116,236x = 174,379.92 × 42,364
  4. Step 4: Simplify right side
    116,236x = 7,387,430,930.88
  5. Step 5: Solve for x
    x = 7,387,430,930.88/116,236
  6. Step 6: Final answer
    x = 63,555.45

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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.