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Finding the Fourth Proportional to 133,842.36, 201,074.58 and 78,477.24

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Solution

The fourth proportional to 133,842.36, 201,074.58 and 78,477.24 is: 117,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,842.36 : 201,074.58 = 78,477.24 : x
  2. Step 2: Convert to fraction form
    133,842.36/201,074.58 = 78,477.24/x
  3. Step 3: Cross multiply
    133,842.36x = 201,074.58 × 78,477.24
  4. Step 4: Simplify right side
    133,842.36x = 15,779,778,072.56
  5. Step 5: Solve for x
    x = 15,779,778,072.56/133,842.36
  6. Step 6: Final answer
    x = 117,898.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.