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Finding the Fourth Proportional to 230,209.30, 317,646.72 and 128,232.16

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Solution

The fourth proportional to 230,209.30, 317,646.72 and 128,232.16 is: 176,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,209.30 : 317,646.72 = 128,232.16 : x
  2. Step 2: Convert to fraction form
    230,209.30/317,646.72 = 128,232.16/x
  3. Step 3: Cross multiply
    230,209.30x = 317,646.72 × 128,232.16
  4. Step 4: Simplify right side
    230,209.30x = 40,732,525,022.52
  5. Step 5: Solve for x
    x = 40,732,525,022.52/230,209.30
  6. Step 6: Final answer
    x = 176,936.92

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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.