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Finding the Fourth Proportional to 201,824.48, 304,195.64 and 190,393.76

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Solution

The fourth proportional to 201,824.48, 304,195.64 and 190,393.76 is: 286,966.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,824.48 : 304,195.64 = 190,393.76 : x
  2. Step 2: Convert to fraction form
    201,824.48/304,195.64 = 190,393.76/x
  3. Step 3: Cross multiply
    201,824.48x = 304,195.64 × 190,393.76
  4. Step 4: Simplify right side
    201,824.48x = 57,916,951,675.21
  5. Step 5: Solve for x
    x = 57,916,951,675.21/201,824.48
  6. Step 6: Final answer
    x = 286,966.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.