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Finding the Fourth Proportional to 153,728.33, 212,144.55 and 85,745.25

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Solution

The fourth proportional to 153,728.33, 212,144.55 and 85,745.25 is: 118,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,728.33 : 212,144.55 = 85,745.25 : x
  2. Step 2: Convert to fraction form
    153,728.33/212,144.55 = 85,745.25/x
  3. Step 3: Cross multiply
    153,728.33x = 212,144.55 × 85,745.25
  4. Step 4: Simplify right side
    153,728.33x = 18,190,387,154.34
  5. Step 5: Solve for x
    x = 18,190,387,154.34/153,728.33
  6. Step 6: Final answer
    x = 118,328.14

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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.