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Finding the Fourth Proportional to 116,633.54, 174,949.16 and 53,435.74

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Solution

The fourth proportional to 116,633.54, 174,949.16 and 53,435.74 is: 80,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,633.54 : 174,949.16 = 53,435.74 : x
  2. Step 2: Convert to fraction form
    116,633.54/174,949.16 = 53,435.74/x
  3. Step 3: Cross multiply
    116,633.54x = 174,949.16 × 53,435.74
  4. Step 4: Simplify right side
    116,633.54x = 9,348,537,826.98
  5. Step 5: Solve for x
    x = 9,348,537,826.98/116,633.54
  6. Step 6: Final answer
    x = 80,153.08

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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.