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Finding the Fourth Proportional to 102,735.84, 154,092.72 and 69,668.16

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Solution

The fourth proportional to 102,735.84, 154,092.72 and 69,668.16 is: 104,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,735.84 : 154,092.72 = 69,668.16 : x
  2. Step 2: Convert to fraction form
    102,735.84/154,092.72 = 69,668.16/x
  3. Step 3: Cross multiply
    102,735.84x = 154,092.72 × 69,668.16
  4. Step 4: Simplify right side
    102,735.84x = 10,735,356,271.80
  5. Step 5: Solve for x
    x = 10,735,356,271.80/102,735.84
  6. Step 6: Final answer
    x = 104,494.75

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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.