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Finding the Fourth Proportional to 260,984, 360,158.28 and 141,752

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Solution

The fourth proportional to 260,984, 360,158.28 and 141,752 is: 195,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,984 : 360,158.28 = 141,752 : x
  2. Step 2: Convert to fraction form
    260,984/360,158.28 = 141,752/x
  3. Step 3: Cross multiply
    260,984x = 360,158.28 × 141,752
  4. Step 4: Simplify right side
    260,984x = 51,053,156,506.56
  5. Step 5: Solve for x
    x = 51,053,156,506.56/260,984
  6. Step 6: Final answer
    x = 195,617.96

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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.