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Finding the Fourth Proportional to 102,653.10, 143,921.70 and 102,653.10

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Solution

The fourth proportional to 102,653.10, 143,921.70 and 102,653.10 is: 143,921.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,653.10 : 143,921.70 = 102,653.10 : x
  2. Step 2: Convert to fraction form
    102,653.10/143,921.70 = 102,653.10/x
  3. Step 3: Cross multiply
    102,653.10x = 143,921.70 × 102,653.10
  4. Step 4: Simplify right side
    102,653.10x = 14,774,008,662.27
  5. Step 5: Solve for x
    x = 14,774,008,662.27/102,653.10
  6. Step 6: Final answer
    x = 143,921.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.