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Finding the Fourth Proportional to 199,614.70, 299,422.05 and 179,931.70

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Solution

The fourth proportional to 199,614.70, 299,422.05 and 179,931.70 is: 269,897.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,614.70 : 299,422.05 = 179,931.70 : x
  2. Step 2: Convert to fraction form
    199,614.70/299,422.05 = 179,931.70/x
  3. Step 3: Cross multiply
    199,614.70x = 299,422.05 × 179,931.70
  4. Step 4: Simplify right side
    199,614.70x = 53,875,518,473.99
  5. Step 5: Solve for x
    x = 53,875,518,473.99/199,614.70
  6. Step 6: Final answer
    x = 269,897.55

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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.