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Finding the Fourth Proportional to 230,208.66, 345,362.40 and 130,416.66

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Solution

The fourth proportional to 230,208.66, 345,362.40 and 130,416.66 is: 195,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,208.66 : 345,362.40 = 130,416.66 : x
  2. Step 2: Convert to fraction form
    230,208.66/345,362.40 = 130,416.66/x
  3. Step 3: Cross multiply
    230,208.66x = 345,362.40 × 130,416.66
  4. Step 4: Simplify right side
    230,208.66x = 45,041,010,697.58
  5. Step 5: Solve for x
    x = 45,041,010,697.58/230,208.66
  6. Step 6: Final answer
    x = 195,652.98

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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.