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Finding the Fourth Proportional to 165,204, 247,805.19 and 46,875.56

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Solution

The fourth proportional to 165,204, 247,805.19 and 46,875.56 is: 70,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,204 : 247,805.19 = 46,875.56 : x
  2. Step 2: Convert to fraction form
    165,204/247,805.19 = 46,875.56/x
  3. Step 3: Cross multiply
    165,204x = 247,805.19 × 46,875.56
  4. Step 4: Simplify right side
    165,204x = 11,616,005,813.13
  5. Step 5: Solve for x
    x = 11,616,005,813.13/165,204
  6. Step 6: Final answer
    x = 70,313.10

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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.