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Finding the Fourth Proportional to 283,156.26, 424,733.88 and 194,139.90

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Solution

The fourth proportional to 283,156.26, 424,733.88 and 194,139.90 is: 291,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,156.26 : 424,733.88 = 194,139.90 : x
  2. Step 2: Convert to fraction form
    283,156.26/424,733.88 = 194,139.90/x
  3. Step 3: Cross multiply
    283,156.26x = 424,733.88 × 194,139.90
  4. Step 4: Simplify right side
    283,156.26x = 82,457,792,989.81
  5. Step 5: Solve for x
    x = 82,457,792,989.81/283,156.26
  6. Step 6: Final answer
    x = 291,209.50

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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.