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Finding the Fourth Proportional to 185,509.48, 278,209.50 and 78,893.23

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Solution

The fourth proportional to 185,509.48, 278,209.50 and 78,893.23 is: 118,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,509.48 : 278,209.50 = 78,893.23 : x
  2. Step 2: Convert to fraction form
    185,509.48/278,209.50 = 78,893.23/x
  3. Step 3: Cross multiply
    185,509.48x = 278,209.50 × 78,893.23
  4. Step 4: Simplify right side
    185,509.48x = 21,948,846,071.69
  5. Step 5: Solve for x
    x = 21,948,846,071.69/185,509.48
  6. Step 6: Final answer
    x = 118,316.57

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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.