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Finding the Fourth Proportional to 117,423, 176,166.90 and 34,317

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Solution

The fourth proportional to 117,423, 176,166.90 and 34,317 is: 51,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,423 : 176,166.90 = 34,317 : x
  2. Step 2: Convert to fraction form
    117,423/176,166.90 = 34,317/x
  3. Step 3: Cross multiply
    117,423x = 176,166.90 × 34,317
  4. Step 4: Simplify right side
    117,423x = 6,045,519,507.30
  5. Step 5: Solve for x
    x = 6,045,519,507.30/117,423
  6. Step 6: Final answer
    x = 51,484.97

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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.