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Finding the Fourth Proportional to 273,886.10, 410,829.15 and 76,894.10

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Solution

The fourth proportional to 273,886.10, 410,829.15 and 76,894.10 is: 115,341.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,886.10 : 410,829.15 = 76,894.10 : x
  2. Step 2: Convert to fraction form
    273,886.10/410,829.15 = 76,894.10/x
  3. Step 3: Cross multiply
    273,886.10x = 410,829.15 × 76,894.10
  4. Step 4: Simplify right side
    273,886.10x = 31,590,337,743.02
  5. Step 5: Solve for x
    x = 31,590,337,743.02/273,886.10
  6. Step 6: Final answer
    x = 115,341.15

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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.