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Finding the Fourth Proportional to 200,781.42, 301,075.25 and 116,562.79

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Solution

The fourth proportional to 200,781.42, 301,075.25 and 116,562.79 is: 174,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,781.42 : 301,075.25 = 116,562.79 : x
  2. Step 2: Convert to fraction form
    200,781.42/301,075.25 = 116,562.79/x
  3. Step 3: Cross multiply
    200,781.42x = 301,075.25 × 116,562.79
  4. Step 4: Simplify right side
    200,781.42x = 35,094,171,070.20
  5. Step 5: Solve for x
    x = 35,094,171,070.20/200,781.42
  6. Step 6: Final answer
    x = 174,787.94

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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.