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Finding the Fourth Proportional to 362,085.52, 543,132.28 and 109,368.16

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Solution

The fourth proportional to 362,085.52, 543,132.28 and 109,368.16 is: 164,053.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,085.52 : 543,132.28 = 109,368.16 : x
  2. Step 2: Convert to fraction form
    362,085.52/543,132.28 = 109,368.16/x
  3. Step 3: Cross multiply
    362,085.52x = 543,132.28 × 109,368.16
  4. Step 4: Simplify right side
    362,085.52x = 59,401,378,100.20
  5. Step 5: Solve for x
    x = 59,401,378,100.20/362,085.52
  6. Step 6: Final answer
    x = 164,053.45

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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.