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Finding the Fourth Proportional to 201,826, 278,528.52 and 112,402

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Solution

The fourth proportional to 201,826, 278,528.52 and 112,402 is: 155,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,826 : 278,528.52 = 112,402 : x
  2. Step 2: Convert to fraction form
    201,826/278,528.52 = 112,402/x
  3. Step 3: Cross multiply
    201,826x = 278,528.52 × 112,402
  4. Step 4: Simplify right side
    201,826x = 31,307,162,705.04
  5. Step 5: Solve for x
    x = 31,307,162,705.04/201,826
  6. Step 6: Final answer
    x = 155,119.57

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Why These Related Problems?

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