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Finding the Fourth Proportional to 155,709.30, 214,878.84 and 84,089.33

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Solution

The fourth proportional to 155,709.30, 214,878.84 and 84,089.33 is: 116,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,709.30 : 214,878.84 = 84,089.33 : x
  2. Step 2: Convert to fraction form
    155,709.30/214,878.84 = 84,089.33/x
  3. Step 3: Cross multiply
    155,709.30x = 214,878.84 × 84,089.33
  4. Step 4: Simplify right side
    155,709.30x = 18,069,017,686.78
  5. Step 5: Solve for x
    x = 18,069,017,686.78/155,709.30
  6. Step 6: Final answer
    x = 116,043.28

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