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Finding the Fourth Proportional to 117,210, 175,844.16 and 34,104

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Solution

The fourth proportional to 117,210, 175,844.16 and 34,104 is: 51,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,210 : 175,844.16 = 34,104 : x
  2. Step 2: Convert to fraction form
    117,210/175,844.16 = 34,104/x
  3. Step 3: Cross multiply
    117,210x = 175,844.16 × 34,104
  4. Step 4: Simplify right side
    117,210x = 5,996,989,232.64
  5. Step 5: Solve for x
    x = 5,996,989,232.64/117,210
  6. Step 6: Final answer
    x = 51,164.48

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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.