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Finding the Fourth Proportional to 149,018.90, 205,630.53 and 85,359.38

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Solution

The fourth proportional to 149,018.90, 205,630.53 and 85,359.38 is: 117,787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,018.90 : 205,630.53 = 85,359.38 : x
  2. Step 2: Convert to fraction form
    149,018.90/205,630.53 = 85,359.38/x
  3. Step 3: Cross multiply
    149,018.90x = 205,630.53 × 85,359.38
  4. Step 4: Simplify right side
    149,018.90x = 17,552,494,549.87
  5. Step 5: Solve for x
    x = 17,552,494,549.87/149,018.90
  6. Step 6: Final answer
    x = 117,787.04

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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.