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Finding the Fourth Proportional to 260,348, 359,280.48 and 141,116

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Solution

The fourth proportional to 260,348, 359,280.48 and 141,116 is: 194,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,348 : 359,280.48 = 141,116 : x
  2. Step 2: Convert to fraction form
    260,348/359,280.48 = 141,116/x
  3. Step 3: Cross multiply
    260,348x = 359,280.48 × 141,116
  4. Step 4: Simplify right side
    260,348x = 50,700,224,215.68
  5. Step 5: Solve for x
    x = 50,700,224,215.68/260,348
  6. Step 6: Final answer
    x = 194,740.21

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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.