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Finding the Fourth Proportional to 201,653.29, 278,253.21 and 133,564.69

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Solution

The fourth proportional to 201,653.29, 278,253.21 and 133,564.69 is: 184,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,653.29 : 278,253.21 = 133,564.69 : x
  2. Step 2: Convert to fraction form
    201,653.29/278,253.21 = 133,564.69/x
  3. Step 3: Cross multiply
    201,653.29x = 278,253.21 × 133,564.69
  4. Step 4: Simplify right side
    201,653.29x = 37,164,803,735.15
  5. Step 5: Solve for x
    x = 37,164,803,735.15/201,653.29
  6. Step 6: Final answer
    x = 184,300.51

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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.