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Finding the Fourth Proportional to 176,578.80, 264,868.20 and 76,851.60

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Solution

The fourth proportional to 176,578.80, 264,868.20 and 76,851.60 is: 115,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,578.80 : 264,868.20 = 76,851.60 : x
  2. Step 2: Convert to fraction form
    176,578.80/264,868.20 = 76,851.60/x
  3. Step 3: Cross multiply
    176,578.80x = 264,868.20 × 76,851.60
  4. Step 4: Simplify right side
    176,578.80x = 20,355,544,959.12
  5. Step 5: Solve for x
    x = 20,355,544,959.12/176,578.80
  6. Step 6: Final answer
    x = 115,277.40

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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.