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Finding the Fourth Proportional to 102,015.10, 142,968.77 and 102,015.10

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Solution

The fourth proportional to 102,015.10, 142,968.77 and 102,015.10 is: 142,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015.10 : 142,968.77 = 102,015.10 : x
  2. Step 2: Convert to fraction form
    102,015.10/142,968.77 = 102,015.10/x
  3. Step 3: Cross multiply
    102,015.10x = 142,968.77 × 102,015.10
  4. Step 4: Simplify right side
    102,015.10x = 14,584,973,368.43
  5. Step 5: Solve for x
    x = 14,584,973,368.43/102,015.10
  6. Step 6: Final answer
    x = 142,968.77

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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.