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Finding the Fourth Proportional to 144,690.35, 199,761.35 and 114,597.23

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Solution

The fourth proportional to 144,690.35, 199,761.35 and 114,597.23 is: 158,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,690.35 : 199,761.35 = 114,597.23 : x
  2. Step 2: Convert to fraction form
    144,690.35/199,761.35 = 114,597.23/x
  3. Step 3: Cross multiply
    144,690.35x = 199,761.35 × 114,597.23
  4. Step 4: Simplify right side
    144,690.35x = 22,892,095,799.27
  5. Step 5: Solve for x
    x = 22,892,095,799.27/144,690.35
  6. Step 6: Final answer
    x = 158,214.40

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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.