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Finding the Fourth Proportional to 260,411.85, 359,366.63 and 147,235.05

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Solution

The fourth proportional to 260,411.85, 359,366.63 and 147,235.05 is: 203,183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,411.85 : 359,366.63 = 147,235.05 : x
  2. Step 2: Convert to fraction form
    260,411.85/359,366.63 = 147,235.05/x
  3. Step 3: Cross multiply
    260,411.85x = 359,366.63 × 147,235.05
  4. Step 4: Simplify right side
    260,411.85x = 52,911,363,000.21
  5. Step 5: Solve for x
    x = 52,911,363,000.21/260,411.85
  6. Step 6: Final answer
    x = 203,183.39

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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.