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Finding the Fourth Proportional to 296,160.85, 408,702.02 and 160,194.74

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Solution

The fourth proportional to 296,160.85, 408,702.02 and 160,194.74 is: 221,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,160.85 : 408,702.02 = 160,194.74 : x
  2. Step 2: Convert to fraction form
    296,160.85/408,702.02 = 160,194.74/x
  3. Step 3: Cross multiply
    296,160.85x = 408,702.02 × 160,194.74
  4. Step 4: Simplify right side
    296,160.85x = 65,471,910,986.89
  5. Step 5: Solve for x
    x = 65,471,910,986.89/296,160.85
  6. Step 6: Final answer
    x = 221,068.76

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1.5x scale

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.