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Finding the Fourth Proportional to 205,514.66, 283,697.70 and 124,968.06

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Solution

The fourth proportional to 205,514.66, 283,697.70 and 124,968.06 is: 172,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514.66 : 283,697.70 = 124,968.06 : x
  2. Step 2: Convert to fraction form
    205,514.66/283,697.70 = 124,968.06/x
  3. Step 3: Cross multiply
    205,514.66x = 283,697.70 × 124,968.06
  4. Step 4: Simplify right side
    205,514.66x = 35,453,151,195.46
  5. Step 5: Solve for x
    x = 35,453,151,195.46/205,514.66
  6. Step 6: Final answer
    x = 172,509.11

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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.