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Finding the Fourth Proportional to 117,699.21, 176,549.90 and 83,822.31

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Solution

The fourth proportional to 117,699.21, 176,549.90 and 83,822.31 is: 125,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,699.21 : 176,549.90 = 83,822.31 : x
  2. Step 2: Convert to fraction form
    117,699.21/176,549.90 = 83,822.31/x
  3. Step 3: Cross multiply
    117,699.21x = 176,549.90 × 83,822.31
  4. Step 4: Simplify right side
    117,699.21x = 14,798,820,029.16
  5. Step 5: Solve for x
    x = 14,798,820,029.16/117,699.21
  6. Step 6: Final answer
    x = 125,734.23

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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.