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Finding the Fourth Proportional to 201,838.13, 278,536.62 and 112,414.13

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Solution

The fourth proportional to 201,838.13, 278,536.62 and 112,414.13 is: 155,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838.13 : 278,536.62 = 112,414.13 : x
  2. Step 2: Convert to fraction form
    201,838.13/278,536.62 = 112,414.13/x
  3. Step 3: Cross multiply
    201,838.13x = 278,536.62 × 112,414.13
  4. Step 4: Simplify right side
    201,838.13x = 31,311,450,417.76
  5. Step 5: Solve for x
    x = 31,311,450,417.76/201,838.13
  6. Step 6: Final answer
    x = 155,131.50

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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.