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Finding the Fourth Proportional to 308,315.60, 462,166.20 and 141,813.20

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Solution

The fourth proportional to 308,315.60, 462,166.20 and 141,813.20 is: 212,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,315.60 : 462,166.20 = 141,813.20 : x
  2. Step 2: Convert to fraction form
    308,315.60/462,166.20 = 141,813.20/x
  3. Step 3: Cross multiply
    308,315.60x = 462,166.20 × 141,813.20
  4. Step 4: Simplify right side
    308,315.60x = 65,541,267,753.84
  5. Step 5: Solve for x
    x = 65,541,267,753.84/308,315.60
  6. Step 6: Final answer
    x = 212,578.50

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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.