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Finding the Fourth Proportional to 78,083.36, 116,852.88 and 63,879.20

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Solution

The fourth proportional to 78,083.36, 116,852.88 and 63,879.20 is: 95,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,083.36 : 116,852.88 = 63,879.20 : x
  2. Step 2: Convert to fraction form
    78,083.36/116,852.88 = 63,879.20/x
  3. Step 3: Cross multiply
    78,083.36x = 116,852.88 × 63,879.20
  4. Step 4: Simplify right side
    78,083.36x = 7,464,468,492.10
  5. Step 5: Solve for x
    x = 7,464,468,492.10/78,083.36
  6. Step 6: Final answer
    x = 95,596.15

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Why These Related Problems?

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