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Finding the Fourth Proportional to 103,141.66, 154,472.59 and 100,303.80

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Solution

The fourth proportional to 103,141.66, 154,472.59 and 100,303.80 is: 150,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,141.66 : 154,472.59 = 100,303.80 : x
  2. Step 2: Convert to fraction form
    103,141.66/154,472.59 = 100,303.80/x
  3. Step 3: Cross multiply
    103,141.66x = 154,472.59 × 100,303.80
  4. Step 4: Simplify right side
    103,141.66x = 15,494,187,772.84
  5. Step 5: Solve for x
    x = 15,494,187,772.84/103,141.66
  6. Step 6: Final answer
    x = 150,222.40

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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.