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Finding the Fourth Proportional to 205,828.40, 308,742.60 and 191,831.60

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Solution

The fourth proportional to 205,828.40, 308,742.60 and 191,831.60 is: 287,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,828.40 : 308,742.60 = 191,831.60 : x
  2. Step 2: Convert to fraction form
    205,828.40/308,742.60 = 191,831.60/x
  3. Step 3: Cross multiply
    205,828.40x = 308,742.60 × 191,831.60
  4. Step 4: Simplify right side
    205,828.40x = 59,226,586,946.16
  5. Step 5: Solve for x
    x = 59,226,586,946.16/205,828.40
  6. Step 6: Final answer
    x = 287,747.40

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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.