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Finding the Fourth Proportional to 185,896.55, 256,516.41 and 105,306.81

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Solution

The fourth proportional to 185,896.55, 256,516.41 and 105,306.81 is: 145,311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,896.55 : 256,516.41 = 105,306.81 : x
  2. Step 2: Convert to fraction form
    185,896.55/256,516.41 = 105,306.81/x
  3. Step 3: Cross multiply
    185,896.55x = 256,516.41 × 105,306.81
  4. Step 4: Simplify right side
    185,896.55x = 27,012,924,849.75
  5. Step 5: Solve for x
    x = 27,012,924,849.75/185,896.55
  6. Step 6: Final answer
    x = 145,311.60

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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.