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Finding the Fourth Proportional to 296,126, 408,653.86 and 160,159.96

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Solution

The fourth proportional to 296,126, 408,653.86 and 160,159.96 is: 221,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,126 : 408,653.86 = 160,159.96 : x
  2. Step 2: Convert to fraction form
    296,126/408,653.86 = 160,159.96/x
  3. Step 3: Cross multiply
    296,126x = 408,653.86 × 160,159.96
  4. Step 4: Simplify right side
    296,126x = 65,449,985,871.45
  5. Step 5: Solve for x
    x = 65,449,985,871.45/296,126
  6. Step 6: Final answer
    x = 221,020.73

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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.