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Finding the Fourth Proportional to 149,898.30, 224,919.45 and 100,002.30

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Solution

The fourth proportional to 149,898.30, 224,919.45 and 100,002.30 is: 150,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,898.30 : 224,919.45 = 100,002.30 : x
  2. Step 2: Convert to fraction form
    149,898.30/224,919.45 = 100,002.30/x
  3. Step 3: Cross multiply
    149,898.30x = 224,919.45 × 100,002.30
  4. Step 4: Simplify right side
    149,898.30x = 22,492,462,314.74
  5. Step 5: Solve for x
    x = 22,492,462,314.74/149,898.30
  6. Step 6: Final answer
    x = 150,051.48

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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.