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Finding the Fourth Proportional to 537,617.87, 806,425.82 and 158,804.63

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Solution

The fourth proportional to 537,617.87, 806,425.82 and 158,804.63 is: 238,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,617.87 : 806,425.82 = 158,804.63 : x
  2. Step 2: Convert to fraction form
    537,617.87/806,425.82 = 158,804.63/x
  3. Step 3: Cross multiply
    537,617.87x = 806,425.82 × 158,804.63
  4. Step 4: Simplify right side
    537,617.87x = 128,064,149,141.39
  5. Step 5: Solve for x
    x = 128,064,149,141.39/537,617.87
  6. Step 6: Final answer
    x = 238,206.65

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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.