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Finding the Fourth Proportional to 310,098.07, 465,213.35 and 107,700.43

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Solution

The fourth proportional to 310,098.07, 465,213.35 and 107,700.43 is: 161,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,098.07 : 465,213.35 = 107,700.43 : x
  2. Step 2: Convert to fraction form
    310,098.07/465,213.35 = 107,700.43/x
  3. Step 3: Cross multiply
    310,098.07x = 465,213.35 × 107,700.43
  4. Step 4: Simplify right side
    310,098.07x = 50,103,677,836.74
  5. Step 5: Solve for x
    x = 50,103,677,836.74/310,098.07
  6. Step 6: Final answer
    x = 161,573.66

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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.