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Finding the Fourth Proportional to 103,020.80, 154,492.80 and 40,678.40

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Solution

The fourth proportional to 103,020.80, 154,492.80 and 40,678.40 is: 61,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,020.80 : 154,492.80 = 40,678.40 : x
  2. Step 2: Convert to fraction form
    103,020.80/154,492.80 = 40,678.40/x
  3. Step 3: Cross multiply
    103,020.80x = 154,492.80 × 40,678.40
  4. Step 4: Simplify right side
    103,020.80x = 6,284,519,915.52
  5. Step 5: Solve for x
    x = 6,284,519,915.52/103,020.80
  6. Step 6: Final answer
    x = 61,002.44

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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.