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Finding the Fourth Proportional to 165,200.40, 247,810.02 and 46,862.46

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Solution

The fourth proportional to 165,200.40, 247,810.02 and 46,862.46 is: 70,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,200.40 : 247,810.02 = 46,862.46 : x
  2. Step 2: Convert to fraction form
    165,200.40/247,810.02 = 46,862.46/x
  3. Step 3: Cross multiply
    165,200.40x = 247,810.02 × 46,862.46
  4. Step 4: Simplify right side
    165,200.40x = 11,612,987,149.85
  5. Step 5: Solve for x
    x = 11,612,987,149.85/165,200.40
  6. Step 6: Final answer
    x = 70,296.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.