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Finding the Fourth Proportional to 260,256, 359,153.28 and 141,024

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Solution

The fourth proportional to 260,256, 359,153.28 and 141,024 is: 194,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,256 : 359,153.28 = 141,024 : x
  2. Step 2: Convert to fraction form
    260,256/359,153.28 = 141,024/x
  3. Step 3: Cross multiply
    260,256x = 359,153.28 × 141,024
  4. Step 4: Simplify right side
    260,256x = 50,649,232,158.72
  5. Step 5: Solve for x
    x = 50,649,232,158.72/260,256
  6. Step 6: Final answer
    x = 194,613.12

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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.