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Finding the Fourth Proportional to 205,292.88, 283,295.88 and 114,647.40

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Solution

The fourth proportional to 205,292.88, 283,295.88 and 114,647.40 is: 158,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,292.88 : 283,295.88 = 114,647.40 : x
  2. Step 2: Convert to fraction form
    205,292.88/283,295.88 = 114,647.40/x
  3. Step 3: Cross multiply
    205,292.88x = 283,295.88 × 114,647.40
  4. Step 4: Simplify right side
    205,292.88x = 32,479,136,072.71
  5. Step 5: Solve for x
    x = 32,479,136,072.71/205,292.88
  6. Step 6: Final answer
    x = 158,208.78

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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.