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Finding the Fourth Proportional to 316,073.64, 474,057.54 and 105,710.88

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Solution

The fourth proportional to 316,073.64, 474,057.54 and 105,710.88 is: 158,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,073.64 : 474,057.54 = 105,710.88 : x
  2. Step 2: Convert to fraction form
    316,073.64/474,057.54 = 105,710.88/x
  3. Step 3: Cross multiply
    316,073.64x = 474,057.54 × 105,710.88
  4. Step 4: Simplify right side
    316,073.64x = 50,113,039,724.04
  5. Step 5: Solve for x
    x = 50,113,039,724.04/316,073.64
  6. Step 6: Final answer
    x = 158,548.62

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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.