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Finding the Fourth Proportional to 149,509.63, 224,226.24 and 44,304

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Solution

The fourth proportional to 149,509.63, 224,226.24 and 44,304 is: 66,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,509.63 : 224,226.24 = 44,304 : x
  2. Step 2: Convert to fraction form
    149,509.63/224,226.24 = 44,304/x
  3. Step 3: Cross multiply
    149,509.63x = 224,226.24 × 44,304
  4. Step 4: Simplify right side
    149,509.63x = 9,934,119,336.96
  5. Step 5: Solve for x
    x = 9,934,119,336.96/149,509.63
  6. Step 6: Final answer
    x = 66,444.68

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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.