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Finding the Fourth Proportional to 150,056.65, 224,835.08 and 105,589.98

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Solution

The fourth proportional to 150,056.65, 224,835.08 and 105,589.98 is: 158,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,056.65 : 224,835.08 = 105,589.98 : x
  2. Step 2: Convert to fraction form
    150,056.65/224,835.08 = 105,589.98/x
  3. Step 3: Cross multiply
    150,056.65x = 224,835.08 × 105,589.98
  4. Step 4: Simplify right side
    150,056.65x = 23,740,330,476.32
  5. Step 5: Solve for x
    x = 23,740,330,476.32/150,056.65
  6. Step 6: Final answer
    x = 158,209.12

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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.