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Finding the Fourth Proportional to 295,758, 408,116.79 and 181,068.98

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Solution

The fourth proportional to 295,758, 408,116.79 and 181,068.98 is: 249,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,758 : 408,116.79 = 181,068.98 : x
  2. Step 2: Convert to fraction form
    295,758/408,116.79 = 181,068.98/x
  3. Step 3: Cross multiply
    295,758x = 408,116.79 × 181,068.98
  4. Step 4: Simplify right side
    295,758x = 73,897,288,845.59
  5. Step 5: Solve for x
    x = 73,897,288,845.59/295,758
  6. Step 6: Final answer
    x = 249,857.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.