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Finding the Fourth Proportional to 230,305, 345,457.50 and 64,097.32

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Solution

The fourth proportional to 230,305, 345,457.50 and 64,097.32 is: 96,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,305 : 345,457.50 = 64,097.32 : x
  2. Step 2: Convert to fraction form
    230,305/345,457.50 = 64,097.32/x
  3. Step 3: Cross multiply
    230,305x = 345,457.50 × 64,097.32
  4. Step 4: Simplify right side
    230,305x = 22,142,899,923.90
  5. Step 5: Solve for x
    x = 22,142,899,923.90/230,305
  6. Step 6: Final answer
    x = 96,145.98

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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.