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Finding the Fourth Proportional to 178,136.83, 245,828.82 and 97,564.24

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Solution

The fourth proportional to 178,136.83, 245,828.82 and 97,564.24 is: 134,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,136.83 : 245,828.82 = 97,564.24 : x
  2. Step 2: Convert to fraction form
    178,136.83/245,828.82 = 97,564.24/x
  3. Step 3: Cross multiply
    178,136.83x = 245,828.82 × 97,564.24
  4. Step 4: Simplify right side
    178,136.83x = 23,984,101,993.40
  5. Step 5: Solve for x
    x = 23,984,101,993.40/178,136.83
  6. Step 6: Final answer
    x = 134,638.65

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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.