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Finding the Fourth Proportional to 217,315, 299,895.80 and 126,733.80

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Solution

The fourth proportional to 217,315, 299,895.80 and 126,733.80 is: 174,893.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,315 : 299,895.80 = 126,733.80 : x
  2. Step 2: Convert to fraction form
    217,315/299,895.80 = 126,733.80/x
  3. Step 3: Cross multiply
    217,315x = 299,895.80 × 126,733.80
  4. Step 4: Simplify right side
    217,315x = 38,006,934,338.04
  5. Step 5: Solve for x
    x = 38,006,934,338.04/217,315
  6. Step 6: Final answer
    x = 174,893.29

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