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Finding the Fourth Proportional to 201,904.75, 278,634.32 and 112,486.51

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Solution

The fourth proportional to 201,904.75, 278,634.32 and 112,486.51 is: 155,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,904.75 : 278,634.32 = 112,486.51 : x
  2. Step 2: Convert to fraction form
    201,904.75/278,634.32 = 112,486.51/x
  3. Step 3: Cross multiply
    201,904.75x = 278,634.32 × 112,486.51
  4. Step 4: Simplify right side
    201,904.75x = 31,342,602,223.02
  5. Step 5: Solve for x
    x = 31,342,602,223.02/201,904.75
  6. Step 6: Final answer
    x = 155,234.60

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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.