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Finding the Fourth Proportional to 205,646.94, 283,780.98 and 113,760.72

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Solution

The fourth proportional to 205,646.94, 283,780.98 and 113,760.72 is: 156,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,646.94 : 283,780.98 = 113,760.72 : x
  2. Step 2: Convert to fraction form
    205,646.94/283,780.98 = 113,760.72/x
  3. Step 3: Cross multiply
    205,646.94x = 283,780.98 × 113,760.72
  4. Step 4: Simplify right side
    205,646.94x = 32,283,128,607.11
  5. Step 5: Solve for x
    x = 32,283,128,607.11/205,646.94
  6. Step 6: Final answer
    x = 156,983.27

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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.