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Finding the Fourth Proportional to 186,821.80, 280,232.70 and 53,706.40

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Solution

The fourth proportional to 186,821.80, 280,232.70 and 53,706.40 is: 80,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,821.80 : 280,232.70 = 53,706.40 : x
  2. Step 2: Convert to fraction form
    186,821.80/280,232.70 = 53,706.40/x
  3. Step 3: Cross multiply
    186,821.80x = 280,232.70 × 53,706.40
  4. Step 4: Simplify right side
    186,821.80x = 15,050,289,479.28
  5. Step 5: Solve for x
    x = 15,050,289,479.28/186,821.80
  6. Step 6: Final answer
    x = 80,559.60

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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.