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Finding the Fourth Proportional to 275,986.84, 414,140.89 and 116,051.20

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Solution

The fourth proportional to 275,986.84, 414,140.89 and 116,051.20 is: 174,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,986.84 : 414,140.89 = 116,051.20 : x
  2. Step 2: Convert to fraction form
    275,986.84/414,140.89 = 116,051.20/x
  3. Step 3: Cross multiply
    275,986.84x = 414,140.89 × 116,051.20
  4. Step 4: Simplify right side
    275,986.84x = 48,061,547,253.57
  5. Step 5: Solve for x
    x = 48,061,547,253.57/275,986.84
  6. Step 6: Final answer
    x = 174,144.34

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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.