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Finding the Fourth Proportional to 316,141.92, 474,063.84 and 105,723.36

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Solution

The fourth proportional to 316,141.92, 474,063.84 and 105,723.36 is: 158,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,141.92 : 474,063.84 = 105,723.36 : x
  2. Step 2: Convert to fraction form
    316,141.92/474,063.84 = 105,723.36/x
  3. Step 3: Cross multiply
    316,141.92x = 474,063.84 × 105,723.36
  4. Step 4: Simplify right side
    316,141.92x = 50,119,622,019.30
  5. Step 5: Solve for x
    x = 50,119,622,019.30/316,141.92
  6. Step 6: Final answer
    x = 158,535.20

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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.