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Finding the Fourth Proportional to 194,957.28, 269,041.10 and 105,533.28

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Solution

The fourth proportional to 194,957.28, 269,041.10 and 105,533.28 is: 145,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,957.28 : 269,041.10 = 105,533.28 : x
  2. Step 2: Convert to fraction form
    194,957.28/269,041.10 = 105,533.28/x
  3. Step 3: Cross multiply
    194,957.28x = 269,041.10 × 105,533.28
  4. Step 4: Simplify right side
    194,957.28x = 28,392,789,210.14
  5. Step 5: Solve for x
    x = 28,392,789,210.14/194,957.28
  6. Step 6: Final answer
    x = 145,635.95

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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.