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Finding the Fourth Proportional to 146,534, 202,217.04 and 79,466

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Solution

The fourth proportional to 146,534, 202,217.04 and 79,466 is: 109,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,534 : 202,217.04 = 79,466 : x
  2. Step 2: Convert to fraction form
    146,534/202,217.04 = 79,466/x
  3. Step 3: Cross multiply
    146,534x = 202,217.04 × 79,466
  4. Step 4: Simplify right side
    146,534x = 16,069,379,300.64
  5. Step 5: Solve for x
    x = 16,069,379,300.64/146,534
  6. Step 6: Final answer
    x = 109,663.15

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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.