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Finding the Fourth Proportional to 205,400.40, 307,582.20 and 152,523.60

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Solution

The fourth proportional to 205,400.40, 307,582.20 and 152,523.60 is: 228,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,400.40 : 307,582.20 = 152,523.60 : x
  2. Step 2: Convert to fraction form
    205,400.40/307,582.20 = 152,523.60/x
  3. Step 3: Cross multiply
    205,400.40x = 307,582.20 × 152,523.60
  4. Step 4: Simplify right side
    205,400.40x = 46,913,544,439.92
  5. Step 5: Solve for x
    x = 46,913,544,439.92/205,400.40
  6. Step 6: Final answer
    x = 228,400.45

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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.