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Finding the Fourth Proportional to 207,952.40, 310,424.32 and 182,729.80

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Solution

The fourth proportional to 207,952.40, 310,424.32 and 182,729.80 is: 272,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,952.40 : 310,424.32 = 182,729.80 : x
  2. Step 2: Convert to fraction form
    207,952.40/310,424.32 = 182,729.80/x
  3. Step 3: Cross multiply
    207,952.40x = 310,424.32 × 182,729.80
  4. Step 4: Simplify right side
    207,952.40x = 56,723,773,908.74
  5. Step 5: Solve for x
    x = 56,723,773,908.74/207,952.40
  6. Step 6: Final answer
    x = 272,772.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.