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Finding the Fourth Proportional to 186,853.68, 280,271.40 and 53,732.88

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Solution

The fourth proportional to 186,853.68, 280,271.40 and 53,732.88 is: 80,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,853.68 : 280,271.40 = 53,732.88 : x
  2. Step 2: Convert to fraction form
    186,853.68/280,271.40 = 53,732.88/x
  3. Step 3: Cross multiply
    186,853.68x = 280,271.40 × 53,732.88
  4. Step 4: Simplify right side
    186,853.68x = 15,059,789,503.63
  5. Step 5: Solve for x
    x = 15,059,789,503.63/186,853.68
  6. Step 6: Final answer
    x = 80,596.70

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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.