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Finding the Fourth Proportional to 205,714.86, 283,895.88 and 125,128.77

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Solution

The fourth proportional to 205,714.86, 283,895.88 and 125,128.77 is: 172,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.86 : 283,895.88 = 125,128.77 : x
  2. Step 2: Convert to fraction form
    205,714.86/283,895.88 = 125,128.77/x
  3. Step 3: Cross multiply
    205,714.86x = 283,895.88 × 125,128.77
  4. Step 4: Simplify right side
    205,714.86x = 35,523,542,272.47
  5. Step 5: Solve for x
    x = 35,523,542,272.47/205,714.86
  6. Step 6: Final answer
    x = 172,683.40

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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.