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Finding the Fourth Proportional to 537,130.07, 805,695.32 and 137,770.82

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Solution

The fourth proportional to 537,130.07, 805,695.32 and 137,770.82 is: 206,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,130.07 : 805,695.32 = 137,770.82 : x
  2. Step 2: Convert to fraction form
    537,130.07/805,695.32 = 137,770.82/x
  3. Step 3: Cross multiply
    537,130.07x = 805,695.32 × 137,770.82
  4. Step 4: Simplify right side
    537,130.07x = 111,001,304,906.56
  5. Step 5: Solve for x
    x = 111,001,304,906.56/537,130.07
  6. Step 6: Final answer
    x = 206,656.29

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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.