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Finding the Fourth Proportional to 153,149.41, 211,315.21 and 89,474.91

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Solution

The fourth proportional to 153,149.41, 211,315.21 and 89,474.91 is: 123,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,149.41 : 211,315.21 = 89,474.91 : x
  2. Step 2: Convert to fraction form
    153,149.41/211,315.21 = 89,474.91/x
  3. Step 3: Cross multiply
    153,149.41x = 211,315.21 × 89,474.91
  4. Step 4: Simplify right side
    153,149.41x = 18,907,409,396.38
  5. Step 5: Solve for x
    x = 18,907,409,396.38/153,149.41
  6. Step 6: Final answer
    x = 123,457.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.