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Finding the Fourth Proportional to 362,005.16, 543,085.74 and 109,264.52

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Solution

The fourth proportional to 362,005.16, 543,085.74 and 109,264.52 is: 163,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,005.16 : 543,085.74 = 109,264.52 : x
  2. Step 2: Convert to fraction form
    362,005.16/543,085.74 = 109,264.52/x
  3. Step 3: Cross multiply
    362,005.16x = 543,085.74 × 109,264.52
  4. Step 4: Simplify right side
    362,005.16x = 59,340,002,699.94
  5. Step 5: Solve for x
    x = 59,340,002,699.94/362,005.16
  6. Step 6: Final answer
    x = 163,920.32

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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.