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Finding the Fourth Proportional to 308,068.24, 462,154.90 and 137,351.89

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Solution

The fourth proportional to 308,068.24, 462,154.90 and 137,351.89 is: 206,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,068.24 : 462,154.90 = 137,351.89 : x
  2. Step 2: Convert to fraction form
    308,068.24/462,154.90 = 137,351.89/x
  3. Step 3: Cross multiply
    308,068.24x = 462,154.90 × 137,351.89
  4. Step 4: Simplify right side
    308,068.24x = 63,477,848,987.76
  5. Step 5: Solve for x
    x = 63,477,848,987.76/308,068.24
  6. Step 6: Final answer
    x = 206,051.26

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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.