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Finding the Fourth Proportional to 78,768, 118,152 and 76,785.12

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Solution

The fourth proportional to 78,768, 118,152 and 76,785.12 is: 115,177.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768 : 118,152 = 76,785.12 : x
  2. Step 2: Convert to fraction form
    78,768/118,152 = 76,785.12/x
  3. Step 3: Cross multiply
    78,768x = 118,152 × 76,785.12
  4. Step 4: Simplify right side
    78,768x = 9,072,315,498.24
  5. Step 5: Solve for x
    x = 9,072,315,498.24/78,768
  6. Step 6: Final answer
    x = 115,177.68

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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.