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Finding the Fourth Proportional to 296,151.05, 408,686.92 and 160,184.86

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Solution

The fourth proportional to 296,151.05, 408,686.92 and 160,184.86 is: 221,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,151.05 : 408,686.92 = 160,184.86 : x
  2. Step 2: Convert to fraction form
    296,151.05/408,686.92 = 160,184.86/x
  3. Step 3: Cross multiply
    296,151.05x = 408,686.92 × 160,184.86
  4. Step 4: Simplify right side
    296,151.05x = 65,465,455,641.85
  5. Step 5: Solve for x
    x = 65,465,455,641.85/296,151.05
  6. Step 6: Final answer
    x = 221,054.27

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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.