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Finding the Fourth Proportional to 204,411.50, 282,092.19 and 114,987.50

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Solution

The fourth proportional to 204,411.50, 282,092.19 and 114,987.50 is: 158,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,411.50 : 282,092.19 = 114,987.50 : x
  2. Step 2: Convert to fraction form
    204,411.50/282,092.19 = 114,987.50/x
  3. Step 3: Cross multiply
    204,411.50x = 282,092.19 × 114,987.50
  4. Step 4: Simplify right side
    204,411.50x = 32,437,075,697.63
  5. Step 5: Solve for x
    x = 32,437,075,697.63/204,411.50
  6. Step 6: Final answer
    x = 158,685.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.