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Finding the Fourth Proportional to 155,703.64, 214,871.02 and 84,083.66

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Solution

The fourth proportional to 155,703.64, 214,871.02 and 84,083.66 is: 116,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,703.64 : 214,871.02 = 84,083.66 : x
  2. Step 2: Convert to fraction form
    155,703.64/214,871.02 = 84,083.66/x
  3. Step 3: Cross multiply
    155,703.64x = 214,871.02 × 84,083.66
  4. Step 4: Simplify right side
    155,703.64x = 18,067,142,642.02
  5. Step 5: Solve for x
    x = 18,067,142,642.02/155,703.64
  6. Step 6: Final answer
    x = 116,035.45

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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.