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Finding the Fourth Proportional to 102,706.80, 154,319.40 and 65,284.80

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Solution

The fourth proportional to 102,706.80, 154,319.40 and 65,284.80 is: 98,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,706.80 : 154,319.40 = 65,284.80 : x
  2. Step 2: Convert to fraction form
    102,706.80/154,319.40 = 65,284.80/x
  3. Step 3: Cross multiply
    102,706.80x = 154,319.40 × 65,284.80
  4. Step 4: Simplify right side
    102,706.80x = 10,074,711,165.12
  5. Step 5: Solve for x
    x = 10,074,711,165.12/102,706.80
  6. Step 6: Final answer
    x = 98,091.96

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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.