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Finding the Fourth Proportional to 280,292.31, 386,797.98 and 152,968.80

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Solution

The fourth proportional to 280,292.31, 386,797.98 and 152,968.80 is: 211,093.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,292.31 : 386,797.98 = 152,968.80 : x
  2. Step 2: Convert to fraction form
    280,292.31/386,797.98 = 152,968.80/x
  3. Step 3: Cross multiply
    280,292.31x = 386,797.98 × 152,968.80
  4. Step 4: Simplify right side
    280,292.31x = 59,168,022,843.02
  5. Step 5: Solve for x
    x = 59,168,022,843.02/280,292.31
  6. Step 6: Final answer
    x = 211,093.99

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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.