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Finding the Fourth Proportional to 260,424, 359,385.12 and 141,192

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Solution

The fourth proportional to 260,424, 359,385.12 and 141,192 is: 194,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,424 : 359,385.12 = 141,192 : x
  2. Step 2: Convert to fraction form
    260,424/359,385.12 = 141,192/x
  3. Step 3: Cross multiply
    260,424x = 359,385.12 × 141,192
  4. Step 4: Simplify right side
    260,424x = 50,742,303,863.04
  5. Step 5: Solve for x
    x = 50,742,303,863.04/260,424
  6. Step 6: Final answer
    x = 194,844.96

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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.