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Finding the Fourth Proportional to 178,025, 245,701.98 and 101,544.26

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Solution

The fourth proportional to 178,025, 245,701.98 and 101,544.26 is: 140,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,025 : 245,701.98 = 101,544.26 : x
  2. Step 2: Convert to fraction form
    178,025/245,701.98 = 101,544.26/x
  3. Step 3: Cross multiply
    178,025x = 245,701.98 × 101,544.26
  4. Step 4: Simplify right side
    178,025x = 24,949,625,739.63
  5. Step 5: Solve for x
    x = 24,949,625,739.63/178,025
  6. Step 6: Final answer
    x = 140,146.75

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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.