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Finding the Fourth Proportional to 102,732.30, 154,357.65 and 65,310.30

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Solution

The fourth proportional to 102,732.30, 154,357.65 and 65,310.30 is: 98,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,732.30 : 154,357.65 = 65,310.30 : x
  2. Step 2: Convert to fraction form
    102,732.30/154,357.65 = 65,310.30/x
  3. Step 3: Cross multiply
    102,732.30x = 154,357.65 × 65,310.30
  4. Step 4: Simplify right side
    102,732.30x = 10,081,144,428.80
  5. Step 5: Solve for x
    x = 10,081,144,428.80/102,732.30
  6. Step 6: Final answer
    x = 98,130.23

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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.