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Finding the Fourth Proportional to 461,959.72, 692,941.28 and 142,109.37

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Solution

The fourth proportional to 461,959.72, 692,941.28 and 142,109.37 is: 213,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,959.72 : 692,941.28 = 142,109.37 : x
  2. Step 2: Convert to fraction form
    461,959.72/692,941.28 = 142,109.37/x
  3. Step 3: Cross multiply
    461,959.72x = 692,941.28 × 142,109.37
  4. Step 4: Simplify right side
    461,959.72x = 98,473,449,103.07
  5. Step 5: Solve for x
    x = 98,473,449,103.07/461,959.72
  6. Step 6: Final answer
    x = 213,164.58

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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.