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Finding the Fourth Proportional to 136,298.34, 204,480.30 and 57,435.12

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Solution

The fourth proportional to 136,298.34, 204,480.30 and 57,435.12 is: 86,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,298.34 : 204,480.30 = 57,435.12 : x
  2. Step 2: Convert to fraction form
    136,298.34/204,480.30 = 57,435.12/x
  3. Step 3: Cross multiply
    136,298.34x = 204,480.30 × 57,435.12
  4. Step 4: Simplify right side
    136,298.34x = 11,744,350,568.14
  5. Step 5: Solve for x
    x = 11,744,350,568.14/136,298.34
  6. Step 6: Final answer
    x = 86,166.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.