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Finding the Fourth Proportional to 205,054.60, 307,581.90 and 94,462.60

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Solution

The fourth proportional to 205,054.60, 307,581.90 and 94,462.60 is: 141,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,054.60 : 307,581.90 = 94,462.60 : x
  2. Step 2: Convert to fraction form
    205,054.60/307,581.90 = 94,462.60/x
  3. Step 3: Cross multiply
    205,054.60x = 307,581.90 × 94,462.60
  4. Step 4: Simplify right side
    205,054.60x = 29,054,985,986.94
  5. Step 5: Solve for x
    x = 29,054,985,986.94/205,054.60
  6. Step 6: Final answer
    x = 141,693.90

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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.