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Finding the Fourth Proportional to 104,418, 144,096.84 and 59,714.64

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Solution

The fourth proportional to 104,418, 144,096.84 and 59,714.64 is: 82,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,418 : 144,096.84 = 59,714.64 : x
  2. Step 2: Convert to fraction form
    104,418/144,096.84 = 59,714.64/x
  3. Step 3: Cross multiply
    104,418x = 144,096.84 × 59,714.64
  4. Step 4: Simplify right side
    104,418x = 8,604,690,925.74
  5. Step 5: Solve for x
    x = 8,604,690,925.74/104,418
  6. Step 6: Final answer
    x = 82,406.20

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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.