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Finding the Fourth Proportional to 232,940.40, 349,669.80 and 127,964.40

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Solution

The fourth proportional to 232,940.40, 349,669.80 and 127,964.40 is: 192,088.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,940.40 : 349,669.80 = 127,964.40 : x
  2. Step 2: Convert to fraction form
    232,940.40/349,669.80 = 127,964.40/x
  3. Step 3: Cross multiply
    232,940.40x = 349,669.80 × 127,964.40
  4. Step 4: Simplify right side
    232,940.40x = 44,745,286,155.12
  5. Step 5: Solve for x
    x = 44,745,286,155.12/232,940.40
  6. Step 6: Final answer
    x = 192,088.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.