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Finding the Fourth Proportional to 230,453.30, 318,024.43 and 128,477.75

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Solution

The fourth proportional to 230,453.30, 318,024.43 and 128,477.75 is: 177,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,453.30 : 318,024.43 = 128,477.75 : x
  2. Step 2: Convert to fraction form
    230,453.30/318,024.43 = 128,477.75/x
  3. Step 3: Cross multiply
    230,453.30x = 318,024.43 × 128,477.75
  4. Step 4: Simplify right side
    230,453.30x = 40,859,061,300.12
  5. Step 5: Solve for x
    x = 40,859,061,300.12/230,453.30
  6. Step 6: Final answer
    x = 177,298.66

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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.