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Finding the Fourth Proportional to 205,429.60, 307,856.40 and 163,381.60

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Solution

The fourth proportional to 205,429.60, 307,856.40 and 163,381.60 is: 244,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,429.60 : 307,856.40 = 163,381.60 : x
  2. Step 2: Convert to fraction form
    205,429.60/307,856.40 = 163,381.60/x
  3. Step 3: Cross multiply
    205,429.60x = 307,856.40 × 163,381.60
  4. Step 4: Simplify right side
    205,429.60x = 50,298,071,202.24
  5. Step 5: Solve for x
    x = 50,298,071,202.24/205,429.60
  6. Step 6: Final answer
    x = 244,843.35

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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.