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Finding the Fourth Proportional to 296,100.95, 408,618.14 and 160,135.07

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Solution

The fourth proportional to 296,100.95, 408,618.14 and 160,135.07 is: 220,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,100.95 : 408,618.14 = 160,135.07 : x
  2. Step 2: Convert to fraction form
    296,100.95/408,618.14 = 160,135.07/x
  3. Step 3: Cross multiply
    296,100.95x = 408,618.14 × 160,135.07
  4. Step 4: Simplify right side
    296,100.95x = 65,434,091,608.40
  5. Step 5: Solve for x
    x = 65,434,091,608.40/296,100.95
  6. Step 6: Final answer
    x = 220,985.76

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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.