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Finding the Fourth Proportional to 145,966.38, 201,435.84 and 85,522.56

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Solution

The fourth proportional to 145,966.38, 201,435.84 and 85,522.56 is: 118,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,966.38 : 201,435.84 = 85,522.56 : x
  2. Step 2: Convert to fraction form
    145,966.38/201,435.84 = 85,522.56/x
  3. Step 3: Cross multiply
    145,966.38x = 201,435.84 × 85,522.56
  4. Step 4: Simplify right side
    145,966.38x = 17,227,308,712.55
  5. Step 5: Solve for x
    x = 17,227,308,712.55/145,966.38
  6. Step 6: Final answer
    x = 118,022.44

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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.