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Finding the Fourth Proportional to 149,907.66, 224,923.76 and 65,624.43

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Solution

The fourth proportional to 149,907.66, 224,923.76 and 65,624.43 is: 98,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,907.66 : 224,923.76 = 65,624.43 : x
  2. Step 2: Convert to fraction form
    149,907.66/224,923.76 = 65,624.43/x
  3. Step 3: Cross multiply
    149,907.66x = 224,923.76 × 65,624.43
  4. Step 4: Simplify right side
    149,907.66x = 14,760,494,304.89
  5. Step 5: Solve for x
    x = 14,760,494,304.89/149,907.66
  6. Step 6: Final answer
    x = 98,463.91

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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.