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Finding the Fourth Proportional to 102,569.20, 153,940.20 and 40,284.40

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Solution

The fourth proportional to 102,569.20, 153,940.20 and 40,284.40 is: 60,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,569.20 : 153,940.20 = 40,284.40 : x
  2. Step 2: Convert to fraction form
    102,569.20/153,940.20 = 40,284.40/x
  3. Step 3: Cross multiply
    102,569.20x = 153,940.20 × 40,284.40
  4. Step 4: Simplify right side
    102,569.20x = 6,201,388,592.88
  5. Step 5: Solve for x
    x = 6,201,388,592.88/102,569.20
  6. Step 6: Final answer
    x = 60,460.53

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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.