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Finding the Fourth Proportional to 176,648.80, 264,973.20 and 120,661.60

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Solution

The fourth proportional to 176,648.80, 264,973.20 and 120,661.60 is: 180,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,648.80 : 264,973.20 = 120,661.60 : x
  2. Step 2: Convert to fraction form
    176,648.80/264,973.20 = 120,661.60/x
  3. Step 3: Cross multiply
    176,648.80x = 264,973.20 × 120,661.60
  4. Step 4: Simplify right side
    176,648.80x = 31,972,090,269.12
  5. Step 5: Solve for x
    x = 31,972,090,269.12/176,648.80
  6. Step 6: Final answer
    x = 180,992.40

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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.