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Finding the Fourth Proportional to 316,098.75, 474,049.71 and 105,687.48

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Solution

The fourth proportional to 316,098.75, 474,049.71 and 105,687.48 is: 158,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,098.75 : 474,049.71 = 105,687.48 : x
  2. Step 2: Convert to fraction form
    316,098.75/474,049.71 = 105,687.48/x
  3. Step 3: Cross multiply
    316,098.75x = 474,049.71 × 105,687.48
  4. Step 4: Simplify right side
    316,098.75x = 50,101,119,244.63
  5. Step 5: Solve for x
    x = 50,101,119,244.63/316,098.75
  6. Step 6: Final answer
    x = 158,498.31

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1.5x scale

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.