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Finding the Fourth Proportional to 170,463.30, 256,002.15 and 164,933.70

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Solution

The fourth proportional to 170,463.30, 256,002.15 and 164,933.70 is: 247,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,463.30 : 256,002.15 = 164,933.70 : x
  2. Step 2: Convert to fraction form
    170,463.30/256,002.15 = 164,933.70/x
  3. Step 3: Cross multiply
    170,463.30x = 256,002.15 × 164,933.70
  4. Step 4: Simplify right side
    170,463.30x = 42,223,381,807.46
  5. Step 5: Solve for x
    x = 42,223,381,807.46/170,463.30
  6. Step 6: Final answer
    x = 247,697.78

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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.