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Finding the Fourth Proportional to 102,483.37, 141,427.24 and 57,164.28

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Solution

The fourth proportional to 102,483.37, 141,427.24 and 57,164.28 is: 78,886.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,483.37 : 141,427.24 = 57,164.28 : x
  2. Step 2: Convert to fraction form
    102,483.37/141,427.24 = 57,164.28/x
  3. Step 3: Cross multiply
    102,483.37x = 141,427.24 × 57,164.28
  4. Step 4: Simplify right side
    102,483.37x = 8,084,586,061.17
  5. Step 5: Solve for x
    x = 8,084,586,061.17/102,483.37
  6. Step 6: Final answer
    x = 78,886.81

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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.