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Finding the Fourth Proportional to 119,396.84, 164,762.44 and 65,678.45

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Solution

The fourth proportional to 119,396.84, 164,762.44 and 65,678.45 is: 90,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,396.84 : 164,762.44 = 65,678.45 : x
  2. Step 2: Convert to fraction form
    119,396.84/164,762.44 = 65,678.45/x
  3. Step 3: Cross multiply
    119,396.84x = 164,762.44 × 65,678.45
  4. Step 4: Simplify right side
    119,396.84x = 10,821,340,689.41
  5. Step 5: Solve for x
    x = 10,821,340,689.41/119,396.84
  6. Step 6: Final answer
    x = 90,633.40

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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.