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Finding the Fourth Proportional to 176,285.30, 264,039.15 and 106,042.10

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Solution

The fourth proportional to 176,285.30, 264,039.15 and 106,042.10 is: 158,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,285.30 : 264,039.15 = 106,042.10 : x
  2. Step 2: Convert to fraction form
    176,285.30/264,039.15 = 106,042.10/x
  3. Step 3: Cross multiply
    176,285.30x = 264,039.15 × 106,042.10
  4. Step 4: Simplify right side
    176,285.30x = 27,999,265,948.22
  5. Step 5: Solve for x
    x = 27,999,265,948.22/176,285.30
  6. Step 6: Final answer
    x = 158,829.27

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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.