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Finding the Fourth Proportional to 176,385.30, 264,837.15 and 106,401.30

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Solution

The fourth proportional to 176,385.30, 264,837.15 and 106,401.30 is: 159,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,385.30 : 264,837.15 = 106,401.30 : x
  2. Step 2: Convert to fraction form
    176,385.30/264,837.15 = 106,401.30/x
  3. Step 3: Cross multiply
    176,385.30x = 264,837.15 × 106,401.30
  4. Step 4: Simplify right side
    176,385.30x = 28,179,017,048.30
  5. Step 5: Solve for x
    x = 28,179,017,048.30/176,385.30
  6. Step 6: Final answer
    x = 159,758.31

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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.