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Finding the Fourth Proportional to 285,477.56, 393,973.09 and 158,153.66

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Solution

The fourth proportional to 285,477.56, 393,973.09 and 158,153.66 is: 218,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,477.56 : 393,973.09 = 158,153.66 : x
  2. Step 2: Convert to fraction form
    285,477.56/393,973.09 = 158,153.66/x
  3. Step 3: Cross multiply
    285,477.56x = 393,973.09 × 158,153.66
  4. Step 4: Simplify right side
    285,477.56x = 62,308,283,759.76
  5. Step 5: Solve for x
    x = 62,308,283,759.76/285,477.56
  6. Step 6: Final answer
    x = 218,259.83

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