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Finding the Fourth Proportional to 117,546.80, 176,320.20 and 99,832.10

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Solution

The fourth proportional to 117,546.80, 176,320.20 and 99,832.10 is: 149,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,546.80 : 176,320.20 = 99,832.10 : x
  2. Step 2: Convert to fraction form
    117,546.80/176,320.20 = 99,832.10/x
  3. Step 3: Cross multiply
    117,546.80x = 176,320.20 × 99,832.10
  4. Step 4: Simplify right side
    117,546.80x = 17,602,415,838.42
  5. Step 5: Solve for x
    x = 17,602,415,838.42/117,546.80
  6. Step 6: Final answer
    x = 149,748.15

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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.