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Finding the Fourth Proportional to 155,493.40, 233,297.70 and 149,733.40

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Solution

The fourth proportional to 155,493.40, 233,297.70 and 149,733.40 is: 224,655.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,493.40 : 233,297.70 = 149,733.40 : x
  2. Step 2: Convert to fraction form
    155,493.40/233,297.70 = 149,733.40/x
  3. Step 3: Cross multiply
    155,493.40x = 233,297.70 × 149,733.40
  4. Step 4: Simplify right side
    155,493.40x = 34,932,457,833.18
  5. Step 5: Solve for x
    x = 34,932,457,833.18/155,493.40
  6. Step 6: Final answer
    x = 224,655.57

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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.