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Finding the Fourth Proportional to 205,570.68, 283,775.00 and 125,024.06

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Solution

The fourth proportional to 205,570.68, 283,775.00 and 125,024.06 is: 172,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,570.68 : 283,775.00 = 125,024.06 : x
  2. Step 2: Convert to fraction form
    205,570.68/283,775.00 = 125,024.06/x
  3. Step 3: Cross multiply
    205,570.68x = 283,775.00 × 125,024.06
  4. Step 4: Simplify right side
    205,570.68x = 35,478,700,582.50
  5. Step 5: Solve for x
    x = 35,478,700,582.50/205,570.68
  6. Step 6: Final answer
    x = 172,586.39

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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.