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Finding the Fourth Proportional to 258,370.68, 387,530.97 and 78,457.67

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Solution

The fourth proportional to 258,370.68, 387,530.97 and 78,457.67 is: 117,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,370.68 : 387,530.97 = 78,457.67 : x
  2. Step 2: Convert to fraction form
    258,370.68/387,530.97 = 78,457.67/x
  3. Step 3: Cross multiply
    258,370.68x = 387,530.97 × 78,457.67
  4. Step 4: Simplify right side
    258,370.68x = 30,404,776,180.41
  5. Step 5: Solve for x
    x = 30,404,776,180.41/258,370.68
  6. Step 6: Final answer
    x = 117,678.89

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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.