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Finding the Fourth Proportional to 116,953.67, 175,285.16 and 53,706.70

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Solution

The fourth proportional to 116,953.67, 175,285.16 and 53,706.70 is: 80,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,953.67 : 175,285.16 = 53,706.70 : x
  2. Step 2: Convert to fraction form
    116,953.67/175,285.16 = 53,706.70/x
  3. Step 3: Cross multiply
    116,953.67x = 175,285.16 × 53,706.70
  4. Step 4: Simplify right side
    116,953.67x = 9,413,986,970.67
  5. Step 5: Solve for x
    x = 9,413,986,970.67/116,953.67
  6. Step 6: Final answer
    x = 80,493.30

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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.