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Finding the Fourth Proportional to 310,186.38, 464,625.68 and 141,848.38

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Solution

The fourth proportional to 310,186.38, 464,625.68 and 141,848.38 is: 212,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,186.38 : 464,625.68 = 141,848.38 : x
  2. Step 2: Convert to fraction form
    310,186.38/464,625.68 = 141,848.38/x
  3. Step 3: Cross multiply
    310,186.38x = 464,625.68 × 141,848.38
  4. Step 4: Simplify right side
    310,186.38x = 65,906,400,014.40
  5. Step 5: Solve for x
    x = 65,906,400,014.40/310,186.38
  6. Step 6: Final answer
    x = 212,473.55

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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.