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Finding the Fourth Proportional to 119,782.94, 165,300.12 and 68,798.98

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Solution

The fourth proportional to 119,782.94, 165,300.12 and 68,798.98 is: 94,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,782.94 : 165,300.12 = 68,798.98 : x
  2. Step 2: Convert to fraction form
    119,782.94/165,300.12 = 68,798.98/x
  3. Step 3: Cross multiply
    119,782.94x = 165,300.12 × 68,798.98
  4. Step 4: Simplify right side
    119,782.94x = 11,372,479,649.88
  5. Step 5: Solve for x
    x = 11,372,479,649.88/119,782.94
  6. Step 6: Final answer
    x = 94,942.40

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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.