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Finding the Fourth Proportional to 165,182, 247,782.36 and 46,844

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Solution

The fourth proportional to 165,182, 247,782.36 and 46,844 is: 70,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,182 : 247,782.36 = 46,844 : x
  2. Step 2: Convert to fraction form
    165,182/247,782.36 = 46,844/x
  3. Step 3: Cross multiply
    165,182x = 247,782.36 × 46,844
  4. Step 4: Simplify right side
    165,182x = 11,607,116,871.84
  5. Step 5: Solve for x
    x = 11,607,116,871.84/165,182
  6. Step 6: Final answer
    x = 70,268.65

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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.