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Finding the Fourth Proportional to 310,207.67, 464,657.61 and 141,869.73

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Solution

The fourth proportional to 310,207.67, 464,657.61 and 141,869.73 is: 212,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,207.67 : 464,657.61 = 141,869.73 : x
  2. Step 2: Convert to fraction form
    310,207.67/464,657.61 = 141,869.73/x
  3. Step 3: Cross multiply
    310,207.67x = 464,657.61 × 141,869.73
  4. Step 4: Simplify right side
    310,207.67x = 65,920,849,333.92
  5. Step 5: Solve for x
    x = 65,920,849,333.92/310,207.67
  6. Step 6: Final answer
    x = 212,505.54

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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.