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Finding the Fourth Proportional to 147,056.31, 202,943.48 and 83,406.51

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Solution

The fourth proportional to 147,056.31, 202,943.48 and 83,406.51 is: 115,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,056.31 : 202,943.48 = 83,406.51 : x
  2. Step 2: Convert to fraction form
    147,056.31/202,943.48 = 83,406.51/x
  3. Step 3: Cross multiply
    147,056.31x = 202,943.48 × 83,406.51
  4. Step 4: Simplify right side
    147,056.31x = 16,926,806,977.02
  5. Step 5: Solve for x
    x = 16,926,806,977.02/147,056.31
  6. Step 6: Final answer
    x = 115,104.25

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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.