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Finding the Fourth Proportional to 230,302.20, 317,811.18 and 128,328.12

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Solution

The fourth proportional to 230,302.20, 317,811.18 and 128,328.12 is: 177,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,302.20 : 317,811.18 = 128,328.12 : x
  2. Step 2: Convert to fraction form
    230,302.20/317,811.18 = 128,328.12/x
  3. Step 3: Cross multiply
    230,302.20x = 317,811.18 × 128,328.12
  4. Step 4: Simplify right side
    230,302.20x = 40,784,111,244.38
  5. Step 5: Solve for x
    x = 40,784,111,244.38/230,302.20
  6. Step 6: Final answer
    x = 177,089.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.