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Finding the Fourth Proportional to 362,809.49, 544,214.33 and 106,642.10

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Solution

The fourth proportional to 362,809.49, 544,214.33 and 106,642.10 is: 159,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,809.49 : 544,214.33 = 106,642.10 : x
  2. Step 2: Convert to fraction form
    362,809.49/544,214.33 = 106,642.10/x
  3. Step 3: Cross multiply
    362,809.49x = 544,214.33 × 106,642.10
  4. Step 4: Simplify right side
    362,809.49x = 58,036,157,374.15
  5. Step 5: Solve for x
    x = 58,036,157,374.15/362,809.49
  6. Step 6: Final answer
    x = 159,963.17

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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.