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Finding the Fourth Proportional to 310,261.14, 464,961.14 and 141,368.72

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Solution

The fourth proportional to 310,261.14, 464,961.14 and 141,368.72 is: 211,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,261.14 : 464,961.14 = 141,368.72 : x
  2. Step 2: Convert to fraction form
    310,261.14/464,961.14 = 141,368.72/x
  3. Step 3: Cross multiply
    310,261.14x = 464,961.14 × 141,368.72
  4. Step 4: Simplify right side
    310,261.14x = 65,730,958,179.89
  5. Step 5: Solve for x
    x = 65,730,958,179.89/310,261.14
  6. Step 6: Final answer
    x = 211,856.88

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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.