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Finding the Fourth Proportional to 176,993.12, 264,865.80 and 110,464.40

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Solution

The fourth proportional to 176,993.12, 264,865.80 and 110,464.40 is: 165,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,993.12 : 264,865.80 = 110,464.40 : x
  2. Step 2: Convert to fraction form
    176,993.12/264,865.80 = 110,464.40/x
  3. Step 3: Cross multiply
    176,993.12x = 264,865.80 × 110,464.40
  4. Step 4: Simplify right side
    176,993.12x = 29,258,241,677.52
  5. Step 5: Solve for x
    x = 29,258,241,677.52/176,993.12
  6. Step 6: Final answer
    x = 165,307.23

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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.