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Finding the Fourth Proportional to 123,767.04, 170,798.70 and 67,178.46

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Solution

The fourth proportional to 123,767.04, 170,798.70 and 67,178.46 is: 92,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,767.04 : 170,798.70 = 67,178.46 : x
  2. Step 2: Convert to fraction form
    123,767.04/170,798.70 = 67,178.46/x
  3. Step 3: Cross multiply
    123,767.04x = 170,798.70 × 67,178.46
  4. Step 4: Simplify right side
    123,767.04x = 11,473,993,636.00
  5. Step 5: Solve for x
    x = 11,473,993,636.00/123,767.04
  6. Step 6: Final answer
    x = 92,706.38

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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.