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Finding the Fourth Proportional to 116,465.80, 174,698.70 and 96,766.60

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Solution

The fourth proportional to 116,465.80, 174,698.70 and 96,766.60 is: 145,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,465.80 : 174,698.70 = 96,766.60 : x
  2. Step 2: Convert to fraction form
    116,465.80/174,698.70 = 96,766.60/x
  3. Step 3: Cross multiply
    116,465.80x = 174,698.70 × 96,766.60
  4. Step 4: Simplify right side
    116,465.80x = 16,904,999,223.42
  5. Step 5: Solve for x
    x = 16,904,999,223.42/116,465.80
  6. Step 6: Final answer
    x = 145,149.90

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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.