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Finding the Fourth Proportional to 205,750.50, 308,594.52 and 56,002.44

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Solution

The fourth proportional to 205,750.50, 308,594.52 and 56,002.44 is: 83,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,750.50 : 308,594.52 = 56,002.44 : x
  2. Step 2: Convert to fraction form
    205,750.50/308,594.52 = 56,002.44/x
  3. Step 3: Cross multiply
    205,750.50x = 308,594.52 × 56,002.44
  4. Step 4: Simplify right side
    205,750.50x = 17,282,046,090.63
  5. Step 5: Solve for x
    x = 17,282,046,090.63/205,750.50
  6. Step 6: Final answer
    x = 83,995.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.