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Finding the Fourth Proportional to 537,905.84, 806,724.29 and 158,751.32

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Solution

The fourth proportional to 537,905.84, 806,724.29 and 158,751.32 is: 238,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,905.84 : 806,724.29 = 158,751.32 : x
  2. Step 2: Convert to fraction form
    537,905.84/806,724.29 = 158,751.32/x
  3. Step 3: Cross multiply
    537,905.84x = 806,724.29 × 158,751.32
  4. Step 4: Simplify right side
    537,905.84x = 128,068,542,276.82
  5. Step 5: Solve for x
    x = 128,068,542,276.82/537,905.84
  6. Step 6: Final answer
    x = 238,087.29

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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.