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Finding the Fourth Proportional to 111,307.71, 166,959.78 and 35,405.16

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Solution

The fourth proportional to 111,307.71, 166,959.78 and 35,405.16 is: 53,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,307.71 : 166,959.78 = 35,405.16 : x
  2. Step 2: Convert to fraction form
    111,307.71/166,959.78 = 35,405.16/x
  3. Step 3: Cross multiply
    111,307.71x = 166,959.78 × 35,405.16
  4. Step 4: Simplify right side
    111,307.71x = 5,911,237,724.46
  5. Step 5: Solve for x
    x = 5,911,237,724.46/111,307.71
  6. Step 6: Final answer
    x = 53,107.17

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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.