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Finding the Fourth Proportional to 308,066.84, 462,152.80 and 137,350.50

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Solution

The fourth proportional to 308,066.84, 462,152.80 and 137,350.50 is: 206,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,066.84 : 462,152.80 = 137,350.50 : x
  2. Step 2: Convert to fraction form
    308,066.84/462,152.80 = 137,350.50/x
  3. Step 3: Cross multiply
    308,066.84x = 462,152.80 × 137,350.50
  4. Step 4: Simplify right side
    308,066.84x = 63,476,918,156.40
  5. Step 5: Solve for x
    x = 63,476,918,156.40/308,066.84
  6. Step 6: Final answer
    x = 206,049.17

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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.