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Finding the Fourth Proportional to 116,914.93, 175,302.28 and 56,825.05

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Solution

The fourth proportional to 116,914.93, 175,302.28 and 56,825.05 is: 85,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,914.93 : 175,302.28 = 56,825.05 : x
  2. Step 2: Convert to fraction form
    116,914.93/175,302.28 = 56,825.05/x
  3. Step 3: Cross multiply
    116,914.93x = 175,302.28 × 56,825.05
  4. Step 4: Simplify right side
    116,914.93x = 9,961,560,826.11
  5. Step 5: Solve for x
    x = 9,961,560,826.11/116,914.93
  6. Step 6: Final answer
    x = 85,203.50

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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.