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Finding the Fourth Proportional to 211,768.80, 292,256.28 and 140,024.40

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Solution

The fourth proportional to 211,768.80, 292,256.28 and 140,024.40 is: 193,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,768.80 : 292,256.28 = 140,024.40 : x
  2. Step 2: Convert to fraction form
    211,768.80/292,256.28 = 140,024.40/x
  3. Step 3: Cross multiply
    211,768.80x = 292,256.28 × 140,024.40
  4. Step 4: Simplify right side
    211,768.80x = 40,923,010,253.23
  5. Step 5: Solve for x
    x = 40,923,010,253.23/211,768.80
  6. Step 6: Final answer
    x = 193,243.81

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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.