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Finding the Fourth Proportional to 262,446.26, 362,061.76 and 160,475.96

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Solution

The fourth proportional to 262,446.26, 362,061.76 and 160,475.96 is: 221,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,446.26 : 362,061.76 = 160,475.96 : x
  2. Step 2: Convert to fraction form
    262,446.26/362,061.76 = 160,475.96/x
  3. Step 3: Cross multiply
    262,446.26x = 362,061.76 × 160,475.96
  4. Step 4: Simplify right side
    262,446.26x = 58,102,207,712.91
  5. Step 5: Solve for x
    x = 58,102,207,712.91/262,446.26
  6. Step 6: Final answer
    x = 221,387.07

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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.