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Finding the Fourth Proportional to 201,744, 278,406.72 and 112,341.12

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Solution

The fourth proportional to 201,744, 278,406.72 and 112,341.12 is: 155,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744 : 278,406.72 = 112,341.12 : x
  2. Step 2: Convert to fraction form
    201,744/278,406.72 = 112,341.12/x
  3. Step 3: Cross multiply
    201,744x = 278,406.72 × 112,341.12
  4. Step 4: Simplify right side
    201,744x = 31,276,522,740.33
  5. Step 5: Solve for x
    x = 31,276,522,740.33/201,744
  6. Step 6: Final answer
    x = 155,030.75

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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.