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Finding the Fourth Proportional to 253,705.82, 350,114.18 and 138,988.63

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Solution

The fourth proportional to 253,705.82, 350,114.18 and 138,988.63 is: 191,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,705.82 : 350,114.18 = 138,988.63 : x
  2. Step 2: Convert to fraction form
    253,705.82/350,114.18 = 138,988.63/x
  3. Step 3: Cross multiply
    253,705.82x = 350,114.18 × 138,988.63
  4. Step 4: Simplify right side
    253,705.82x = 48,661,890,221.77
  5. Step 5: Solve for x
    x = 48,661,890,221.77/253,705.82
  6. Step 6: Final answer
    x = 191,804.39

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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.