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Finding the Fourth Proportional to 149,768.65, 224,648.65 and 61,000.21

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Solution

The fourth proportional to 149,768.65, 224,648.65 and 61,000.21 is: 91,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,768.65 : 224,648.65 = 61,000.21 : x
  2. Step 2: Convert to fraction form
    149,768.65/224,648.65 = 61,000.21/x
  3. Step 3: Cross multiply
    149,768.65x = 224,648.65 × 61,000.21
  4. Step 4: Simplify right side
    149,768.65x = 13,703,614,826.22
  5. Step 5: Solve for x
    x = 13,703,614,826.22/149,768.65
  6. Step 6: Final answer
    x = 91,498.55

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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.