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Finding the Fourth Proportional to 260,700, 359,766 and 141,468

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Solution

The fourth proportional to 260,700, 359,766 and 141,468 is: 195,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,700 : 359,766 = 141,468 : x
  2. Step 2: Convert to fraction form
    260,700/359,766 = 141,468/x
  3. Step 3: Cross multiply
    260,700x = 359,766 × 141,468
  4. Step 4: Simplify right side
    260,700x = 50,895,376,488
  5. Step 5: Solve for x
    x = 50,895,376,488/260,700
  6. Step 6: Final answer
    x = 195,225.84

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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.