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Finding the Fourth Proportional to 163,297, 244,986.46 and 46,561

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Solution

The fourth proportional to 163,297, 244,986.46 and 46,561 is: 69,853.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,297 : 244,986.46 = 46,561 : x
  2. Step 2: Convert to fraction form
    163,297/244,986.46 = 46,561/x
  3. Step 3: Cross multiply
    163,297x = 244,986.46 × 46,561
  4. Step 4: Simplify right side
    163,297x = 11,406,814,564.06
  5. Step 5: Solve for x
    x = 11,406,814,564.06/163,297
  6. Step 6: Final answer
    x = 69,853.18

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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.