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Finding the Fourth Proportional to 185,915.70, 256,562.96 and 105,358.56

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Solution

The fourth proportional to 185,915.70, 256,562.96 and 105,358.56 is: 145,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,915.70 : 256,562.96 = 105,358.56 : x
  2. Step 2: Convert to fraction form
    185,915.70/256,562.96 = 105,358.56/x
  3. Step 3: Cross multiply
    185,915.70x = 256,562.96 × 105,358.56
  4. Step 4: Simplify right side
    185,915.70x = 27,031,104,014.94
  5. Step 5: Solve for x
    x = 27,031,104,014.94/185,915.70
  6. Step 6: Final answer
    x = 145,394.41

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1.5x scale

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.