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Finding the Fourth Proportional to 218,795.96, 301,994.60 and 142,505.16

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Solution

The fourth proportional to 218,795.96, 301,994.60 and 142,505.16 is: 196,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,795.96 : 301,994.60 = 142,505.16 : x
  2. Step 2: Convert to fraction form
    218,795.96/301,994.60 = 142,505.16/x
  3. Step 3: Cross multiply
    218,795.96x = 301,994.60 × 142,505.16
  4. Step 4: Simplify right side
    218,795.96x = 43,035,788,079.61
  5. Step 5: Solve for x
    x = 43,035,788,079.61/218,795.96
  6. Step 6: Final answer
    x = 196,693.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.