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Finding the Fourth Proportional to 176,584.32, 264,468.24 and 106,308.72

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Solution

The fourth proportional to 176,584.32, 264,468.24 and 106,308.72 is: 159,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,584.32 : 264,468.24 = 106,308.72 : x
  2. Step 2: Convert to fraction form
    176,584.32/264,468.24 = 106,308.72/x
  3. Step 3: Cross multiply
    176,584.32x = 264,468.24 × 106,308.72
  4. Step 4: Simplify right side
    176,584.32x = 28,115,280,075.05
  5. Step 5: Solve for x
    x = 28,115,280,075.05/176,584.32
  6. Step 6: Final answer
    x = 159,217.31

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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.