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Finding the Fourth Proportional to 205,005.60, 307,508.40 and 194,119.20

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Solution

The fourth proportional to 205,005.60, 307,508.40 and 194,119.20 is: 291,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,005.60 : 307,508.40 = 194,119.20 : x
  2. Step 2: Convert to fraction form
    205,005.60/307,508.40 = 194,119.20/x
  3. Step 3: Cross multiply
    205,005.60x = 307,508.40 × 194,119.20
  4. Step 4: Simplify right side
    205,005.60x = 59,693,284,601.28
  5. Step 5: Solve for x
    x = 59,693,284,601.28/205,005.60
  6. Step 6: Final answer
    x = 291,178.80

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