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Finding the Fourth Proportional to 111,646.40, 167,371.16 and 41,476.50

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Solution

The fourth proportional to 111,646.40, 167,371.16 and 41,476.50 is: 62,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,646.40 : 167,371.16 = 41,476.50 : x
  2. Step 2: Convert to fraction form
    111,646.40/167,371.16 = 41,476.50/x
  3. Step 3: Cross multiply
    111,646.40x = 167,371.16 × 41,476.50
  4. Step 4: Simplify right side
    111,646.40x = 6,941,969,710.36
  5. Step 5: Solve for x
    x = 6,941,969,710.36/111,646.40
  6. Step 6: Final answer
    x = 62,178.18

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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.