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Finding the Fourth Proportional to 140,586.76, 210,911.33 and 40,751.02

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Solution

The fourth proportional to 140,586.76, 210,911.33 and 40,751.02 is: 61,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,586.76 : 210,911.33 = 40,751.02 : x
  2. Step 2: Convert to fraction form
    140,586.76/210,911.33 = 40,751.02/x
  3. Step 3: Cross multiply
    140,586.76x = 210,911.33 × 40,751.02
  4. Step 4: Simplify right side
    140,586.76x = 8,594,851,827.06
  5. Step 5: Solve for x
    x = 8,594,851,827.06/140,586.76
  6. Step 6: Final answer
    x = 61,135.57

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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.