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Finding the Fourth Proportional to 296,101.95, 408,619.51 and 160,136.07

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Solution

The fourth proportional to 296,101.95, 408,619.51 and 160,136.07 is: 220,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,101.95 : 408,619.51 = 160,136.07 : x
  2. Step 2: Convert to fraction form
    296,101.95/408,619.51 = 160,136.07/x
  3. Step 3: Cross multiply
    296,101.95x = 408,619.51 × 160,136.07
  4. Step 4: Simplify right side
    296,101.95x = 65,434,722,456.73
  5. Step 5: Solve for x
    x = 65,434,722,456.73/296,101.95
  6. Step 6: Final answer
    x = 220,987.14

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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.