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Finding the Fourth Proportional to 104,076.16, 143,625.50 and 56,329.50

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Solution

The fourth proportional to 104,076.16, 143,625.50 and 56,329.50 is: 77,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,076.16 : 143,625.50 = 56,329.50 : x
  2. Step 2: Convert to fraction form
    104,076.16/143,625.50 = 56,329.50/x
  3. Step 3: Cross multiply
    104,076.16x = 143,625.50 × 56,329.50
  4. Step 4: Simplify right side
    104,076.16x = 8,090,352,602.25
  5. Step 5: Solve for x
    x = 8,090,352,602.25/104,076.16
  6. Step 6: Final answer
    x = 77,734.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.