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Finding the Fourth Proportional to 101,948.32, 140,690.32 and 57,235.36

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Solution

The fourth proportional to 101,948.32, 140,690.32 and 57,235.36 is: 78,985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,948.32 : 140,690.32 = 57,235.36 : x
  2. Step 2: Convert to fraction form
    101,948.32/140,690.32 = 57,235.36/x
  3. Step 3: Cross multiply
    101,948.32x = 140,690.32 × 57,235.36
  4. Step 4: Simplify right side
    101,948.32x = 8,052,461,113.72
  5. Step 5: Solve for x
    x = 8,052,461,113.72/101,948.32
  6. Step 6: Final answer
    x = 78,985.72

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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.