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Finding the Fourth Proportional to 186,871.38, 280,323.27 and 53,762.46

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Solution

The fourth proportional to 186,871.38, 280,323.27 and 53,762.46 is: 80,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,871.38 : 280,323.27 = 53,762.46 : x
  2. Step 2: Convert to fraction form
    186,871.38/280,323.27 = 53,762.46/x
  3. Step 3: Cross multiply
    186,871.38x = 280,323.27 × 53,762.46
  4. Step 4: Simplify right side
    186,871.38x = 15,070,868,590.44
  5. Step 5: Solve for x
    x = 15,070,868,590.44/186,871.38
  6. Step 6: Final answer
    x = 80,648.35

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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.