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Finding the Fourth Proportional to 205,762.60, 308,643.90 and 183,455.20

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Solution

The fourth proportional to 205,762.60, 308,643.90 and 183,455.20 is: 275,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,762.60 : 308,643.90 = 183,455.20 : x
  2. Step 2: Convert to fraction form
    205,762.60/308,643.90 = 183,455.20/x
  3. Step 3: Cross multiply
    205,762.60x = 308,643.90 × 183,455.20
  4. Step 4: Simplify right side
    205,762.60x = 56,622,328,403.28
  5. Step 5: Solve for x
    x = 56,622,328,403.28/205,762.60
  6. Step 6: Final answer
    x = 275,182.80

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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.