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Finding the Fourth Proportional to 102,415.56, 141,212.58 and 70,165.64

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Solution

The fourth proportional to 102,415.56, 141,212.58 and 70,165.64 is: 96,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415.56 : 141,212.58 = 70,165.64 : x
  2. Step 2: Convert to fraction form
    102,415.56/141,212.58 = 70,165.64/x
  3. Step 3: Cross multiply
    102,415.56x = 141,212.58 × 70,165.64
  4. Step 4: Simplify right side
    102,415.56x = 9,908,271,051.75
  5. Step 5: Solve for x
    x = 9,908,271,051.75/102,415.56
  6. Step 6: Final answer
    x = 96,745.76

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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.