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Finding the Fourth Proportional to 294,116.84, 441,113.82 and 83,707.88

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Solution

The fourth proportional to 294,116.84, 441,113.82 and 83,707.88 is: 125,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,116.84 : 441,113.82 = 83,707.88 : x
  2. Step 2: Convert to fraction form
    294,116.84/441,113.82 = 83,707.88/x
  3. Step 3: Cross multiply
    294,116.84x = 441,113.82 × 83,707.88
  4. Step 4: Simplify right side
    294,116.84x = 36,924,702,710.90
  5. Step 5: Solve for x
    x = 36,924,702,710.90/294,116.84
  6. Step 6: Final answer
    x = 125,544.33

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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.