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Finding the Fourth Proportional to 294,074.98, 441,115.20 and 83,712.91

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Solution

The fourth proportional to 294,074.98, 441,115.20 and 83,712.91 is: 125,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,074.98 : 441,115.20 = 83,712.91 : x
  2. Step 2: Convert to fraction form
    294,074.98/441,115.20 = 83,712.91/x
  3. Step 3: Cross multiply
    294,074.98x = 441,115.20 × 83,712.91
  4. Step 4: Simplify right side
    294,074.98x = 36,927,037,037.23
  5. Step 5: Solve for x
    x = 36,927,037,037.23/294,074.98
  6. Step 6: Final answer
    x = 125,570.14

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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.