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Finding the Fourth Proportional to 102,588.31, 141,579.03 and 57,275.20

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Solution

The fourth proportional to 102,588.31, 141,579.03 and 57,275.20 is: 79,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,588.31 : 141,579.03 = 57,275.20 : x
  2. Step 2: Convert to fraction form
    102,588.31/141,579.03 = 57,275.20/x
  3. Step 3: Cross multiply
    102,588.31x = 141,579.03 × 57,275.20
  4. Step 4: Simplify right side
    102,588.31x = 8,108,967,259.06
  5. Step 5: Solve for x
    x = 8,108,967,259.06/102,588.31
  6. Step 6: Final answer
    x = 79,043.77

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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.