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Finding the Fourth Proportional to 176,405.85, 243,460.94 and 104,786.16

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Solution

The fourth proportional to 176,405.85, 243,460.94 and 104,786.16 is: 144,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,405.85 : 243,460.94 = 104,786.16 : x
  2. Step 2: Convert to fraction form
    176,405.85/243,460.94 = 104,786.16/x
  3. Step 3: Cross multiply
    176,405.85x = 243,460.94 × 104,786.16
  4. Step 4: Simplify right side
    176,405.85x = 25,511,336,165.10
  5. Step 5: Solve for x
    x = 25,511,336,165.10/176,405.85
  6. Step 6: Final answer
    x = 144,617.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.