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Finding the Fourth Proportional to 201,705.19, 278,390.52 and 116,822.25

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Solution

The fourth proportional to 201,705.19, 278,390.52 and 116,822.25 is: 161,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705.19 : 278,390.52 = 116,822.25 : x
  2. Step 2: Convert to fraction form
    201,705.19/278,390.52 = 116,822.25/x
  3. Step 3: Cross multiply
    201,705.19x = 278,390.52 × 116,822.25
  4. Step 4: Simplify right side
    201,705.19x = 32,522,206,925.07
  5. Step 5: Solve for x
    x = 32,522,206,925.07/201,705.19
  6. Step 6: Final answer
    x = 161,236.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.