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Finding the Fourth Proportional to 102,362.52, 141,258.16 and 57,040.32

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Solution

The fourth proportional to 102,362.52, 141,258.16 and 57,040.32 is: 78,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,362.52 : 141,258.16 = 57,040.32 : x
  2. Step 2: Convert to fraction form
    102,362.52/141,258.16 = 57,040.32/x
  3. Step 3: Cross multiply
    102,362.52x = 141,258.16 × 57,040.32
  4. Step 4: Simplify right side
    102,362.52x = 8,057,410,649.01
  5. Step 5: Solve for x
    x = 8,057,410,649.01/102,362.52
  6. Step 6: Final answer
    x = 78,714.46

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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.