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Finding the Fourth Proportional to 102,146.64, 140,882.59 and 87,089.14

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Solution

The fourth proportional to 102,146.64, 140,882.59 and 87,089.14 is: 120,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,146.64 : 140,882.59 = 87,089.14 : x
  2. Step 2: Convert to fraction form
    102,146.64/140,882.59 = 87,089.14/x
  3. Step 3: Cross multiply
    102,146.64x = 140,882.59 × 87,089.14
  4. Step 4: Simplify right side
    102,146.64x = 12,269,343,889.04
  5. Step 5: Solve for x
    x = 12,269,343,889.04/102,146.64
  6. Step 6: Final answer
    x = 120,115.01

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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.