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Finding the Fourth Proportional to 176,384.80, 264,836.40 and 106,400.80

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Solution

The fourth proportional to 176,384.80, 264,836.40 and 106,400.80 is: 159,757.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,384.80 : 264,836.40 = 106,400.80 : x
  2. Step 2: Convert to fraction form
    176,384.80/264,836.40 = 106,400.80/x
  3. Step 3: Cross multiply
    176,384.80x = 264,836.40 × 106,400.80
  4. Step 4: Simplify right side
    176,384.80x = 28,178,804,829.12
  5. Step 5: Solve for x
    x = 28,178,804,829.12/176,384.80
  6. Step 6: Final answer
    x = 159,757.56

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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.