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Finding the Fourth Proportional to 205,205.60, 307,808.40 and 200,831.60

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Solution

The fourth proportional to 205,205.60, 307,808.40 and 200,831.60 is: 301,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,205.60 : 307,808.40 = 200,831.60 : x
  2. Step 2: Convert to fraction form
    205,205.60/307,808.40 = 200,831.60/x
  3. Step 3: Cross multiply
    205,205.60x = 307,808.40 × 200,831.60
  4. Step 4: Simplify right side
    205,205.60x = 61,817,653,465.44
  5. Step 5: Solve for x
    x = 61,817,653,465.44/205,205.60
  6. Step 6: Final answer
    x = 301,247.40

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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.