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Finding the Fourth Proportional to 537,787.50, 806,732.01 and 158,709.66

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Solution

The fourth proportional to 537,787.50, 806,732.01 and 158,709.66 is: 238,079.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,787.50 : 806,732.01 = 158,709.66 : x
  2. Step 2: Convert to fraction form
    537,787.50/806,732.01 = 158,709.66/x
  3. Step 3: Cross multiply
    537,787.50x = 806,732.01 × 158,709.66
  4. Step 4: Simplify right side
    537,787.50x = 128,036,163,018.22
  5. Step 5: Solve for x
    x = 128,036,163,018.22/537,787.50
  6. Step 6: Final answer
    x = 238,079.47

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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.