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Finding the Fourth Proportional to 137,265.39, 205,895.93 and 43,770.51

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Solution

The fourth proportional to 137,265.39, 205,895.93 and 43,770.51 is: 65,655.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,265.39 : 205,895.93 = 43,770.51 : x
  2. Step 2: Convert to fraction form
    137,265.39/205,895.93 = 43,770.51/x
  3. Step 3: Cross multiply
    137,265.39x = 205,895.93 × 43,770.51
  4. Step 4: Simplify right side
    137,265.39x = 9,012,169,644.17
  5. Step 5: Solve for x
    x = 9,012,169,644.17/137,265.39
  6. Step 6: Final answer
    x = 65,655.08

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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.