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Finding the Fourth Proportional to 308,051.20, 462,091.20 and 97,705.60

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Solution

The fourth proportional to 308,051.20, 462,091.20 and 97,705.60 is: 146,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,051.20 : 462,091.20 = 97,705.60 : x
  2. Step 2: Convert to fraction form
    308,051.20/462,091.20 = 97,705.60/x
  3. Step 3: Cross multiply
    308,051.20x = 462,091.20 × 97,705.60
  4. Step 4: Simplify right side
    308,051.20x = 45,148,897,950.72
  5. Step 5: Solve for x
    x = 45,148,897,950.72/308,051.20
  6. Step 6: Final answer
    x = 146,562.97

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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.