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Finding the Fourth Proportional to 153,399.60, 230,005.44 and 59,796

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Solution

The fourth proportional to 153,399.60, 230,005.44 and 59,796 is: 89,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,399.60 : 230,005.44 = 59,796 : x
  2. Step 2: Convert to fraction form
    153,399.60/230,005.44 = 59,796/x
  3. Step 3: Cross multiply
    153,399.60x = 230,005.44 × 59,796
  4. Step 4: Simplify right side
    153,399.60x = 13,753,405,290.24
  5. Step 5: Solve for x
    x = 13,753,405,290.24/153,399.60
  6. Step 6: Final answer
    x = 89,657.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.